>2#@ A!K,Kzm+ a0Djj9OX`!rJ~;TRW'.NtzH?nxH}\&LHfO@&i!4 iAE!\IAN}#JZ\BaL=#t, trailer 0000004937 00000 n SEQUENCE AND SERIES 149 9.1.2 A Geometric progression (G.P.) That is, lim n!1 1 n = 0: 2.If ris a number with 1 <r<1, then the sequence with n-th term a . Remark. 0000006903 00000 n /Resources 21 0 R endstream 0000007582 00000 n This page titled 8: Sequences and Series is shared under a CC BY-NC license and was authored, remixed, and/or curated by Gregory Hartman et al.. School Hillcrest High School Course Title MATH 123 Uploaded By ElderLobster2387 Pages 26 This preview shows page 1 - 5 out of 26 pages. Denition 10.1.1. [9q7i+]E> The inclusion of Fourier series in the text allows the student to gain some exposure to this important subject. 0000001081 00000 n /Filter /FlateDecode 0000002148 00000 n >> endstream endobj 2320 0 obj <> endobj 2321 0 obj <>stream xM 2294 0 obj <> endobj Select chapter you wish to download and it's done. 0 The book begins with infinite series and sequences before moving onto power series, complex infinite series and finally onto Fourier, Legendre, and Fourier-Bessel series. /BBox [0 0 100 100] Series - The Basics - In this section we will discuss some of the basics of infinite series. 0000008611 00000 n /Length 15 By using our site, you agree to our collection of information through the use of cookies. Limits are extremely important, though, especially limits that involve infinity. http://www.apexcalculus.com/. [Y[^iie_|viK&KW\~ an (an) n2N, fang 1 n=1, f(n) 1 n=1, or (f(n)) n2N, depending on which author you read. /BBox [0 0 100 100] Series With Non-Negative ermsT I: Comparison 48 4. endobj /Matrix [1 0 0 1 0 0] endstream 1.1.1 Kinds of Sequences 1. 1.1.1 Kinds of Sequences 1. Introduction to Sequences andSeries Mathematicsfor Engineers-ENG 3009, 2018-2019 Introduction to Sequences andSeries FLORIMONDGUENIAT& VIJAYVENKATESH WITHBRIANSMITH I. Gregory Hartman (Virginia Military Institute). HtTn0+x\BzA6nF-j$#wgE'S*QSLRVa@CTvcT^QqE8#"#RU"2qh $3a*tDk}_p$Dw'Xt^Xf.7{>|c+8$4/rw50KNo%1sQV"Fw_wL)Yoo S[=5 M,HfVMg9WV{i}BN:QiuZ74U[rY9n.Qu'*b$W>?IJ jynU&TID~cY['I]}{}`0pbz)]Pjv|0*YY8W`p(>!1@zY!9BB9z6juSBFv]G)*dJ7(vLPcnoJC` Getting the books sequence and series review answers now is not type of challenging means. Product details Publisher : Cambridge University Press (August 6, 2015) Language : English Paperback : 333 pages ISBN-10 : 1107500540 ISBN-13 : 978-1107500549 Item . Sequences - We will start the chapter off with a brief discussion of sequences. endobj Download free PDF textbooks or read online. Virginia Military Institute This chapter introduces sequences and series, important mathematical constructions that are useful when solving a large variety of mathematical problems. 0000011273 00000 n ad /Type /XObject Bali: Publsiher: Firewall Media: Total Pages: 832: Release: 2005-12 . /Resources 10 0 R 2.2 Sequences: 2294 38 infinite sequence. 0000010230 00000 n 0000096805 00000 n is straightforward, it is useful to think of a sequence as a function. 0000011101 00000 n HSMk0WhZ' x}Sn0>li%H8~ KT2IU,5k.H7UnP0t'U9D48#w\\Lm."aTYmEw}UT#dHz.u.y3Nkse|L=f1E1U'` Kit McKee is the world's leading genetic editor. HQN0+|L:iBHH "q2(2r&r!R-u_.]7ah/i,m`Mynfh:N@\E`(AW@`q%fr/*fHJP( 8<=t.-z-)p[6)d&"%DE?sc &@LjzC-Q#OgHEEWd,gjOXE5=|kV:VXA*H'CLFZ~Dut. 5, 8, 11, 14, 17, Example. For example, exponential growth is a growth pattern that is shared by populations, bank accounts etc, Sequences and Series deal with numerical patterns. if it has infinite terms, e.g., , 4, 6, 8, 10, 12, 14, - - - - - - - - 2.3 Progression: If a sequence of number is such that each term can be obtained from the preceding one by the operation of some law, the sequence is called a progression. Series - The Idea and Notation A series is built from a sequence, but differs from it in that the terms are added together. HtRN0+h#lM\H!~gll3/{X(6=Y8 zEF;gWk.f+jBS;V\/OqaH=5k0H/tye_?o {,z\c{&p:C{(ae w*:W.m045 sDE4#E\{iX^[&6D! f Q0Lua/fJ@dKy*%,nR;{wrF*C6TY- PRUHeSL(j%9Tu^qkZN{1c*kngT%:0SF## Author: N.P. /BBox [0 0 100 100] Finite Sequence: A sequence <an > in which anmNn =0 > is said to be a finite Sequence. Here are your two best sequence friends. xb```"^g|x`Dp$+<8lQzc#S?u_Z.N-%{c:ox_~^h[O_Y/SJh'Dn#BtMOuL2iObz&%_kED'UmC' :9zhRNf00mypcc=.$K+.(fo)E2m]^kEL'Gsg&/Dl+[_rLDY+K| MhVv%)QwU/AJ=K .dg(`ttZb$ft BtqfE=8{ZHx~ #8Gk28j^, d9 j,(Q Q)]/J*@jP(2An^!0DKC-a#K H{m\n\jf~l806mw;c $0(,::`er Qp@`:Ea$`"0540e5U hLLhVm`5(..0[z%l =i.: -i,".0[ Author (s): Dr Richard Kaye NA Pages Download / View book Similar Books Notes on Infinite Series (PDF 61P) Currently this section contains no detailed description for the page, will update this page soon. }E$QRhDk+Uy&DWlO{9g;9 /kg\goYS[T]v4hn9onc+Y3a ,nl[Qpfijk D6.@Rhu^/;@HIjNm>-zq}9O9~\aH7 gw. is a sequence in which each term except the first is obtained by multiplying the previous term by a non-zero constant called the common ratio.Let us consider a G .P. C hapter 8 contains a proof of the Weierstrass approximation theorem using the method of aapproximate identities. 353 20 /BBox [0 0 100 100] startxref endstream endobj 2307 0 obj <> endobj 2308 0 obj <> endobj 2309 0 obj <>stream Two ways of doing this . Benefits of Sequences and Series Worksheets endobj endstream endobj 2302 0 obj <>stream /Matrix [1 0 0 1 0 0] Academia.edu uses cookies to personalize content, tailor ads and improve the user experience. x]=@DSfZ!ls]5 J"=D_Ri?1L ZJ(1d,LE4;t>5E^bp|qp&Qk|v3S_?#+9?' ! The final chapter includes a detailed Note:-Each progression is a sequence but each sequence may or may not /Filter /FlateDecode Is a set of number with a simple pattern. 0000085042 00000 n 4 0 obj << x1 0 The sequences and series worksheets for the little minds is a fun way to interact with numbers. 0000003756 00000 n Sequences and Series Book (2021).pdf - Compiled by: GA Mac Tavish Grade 12 Revision Book Sequences and Series MATHEMATICS Matric Intervention Sequences and Series Book (2021).pdf - Compiled by: GA Mac. Here, common ratio r = -1 Free 30-day trial. Academia.edu no longer supports Internet Explorer. The content of this chapter is considerably different from the content of the chapters before it. 26 0 obj << The sum of the steps forms an innite series, the topic of Section 10.2 and the rest of Chapter 10. stream A . 0000004331 00000 n /Filter /FlateDecode This chapter introduces sequences and series, important mathematical constructions that are useful when solving a large variety of mathematical problems. endstream endobj 2318 0 obj <>/ExtGState<>>>/Type/XObject/BBox[0 0 11.516 34.547]>>stream y&/dUNdN}a}q %BHJN u%J)Ox9J98,$~6W>FPr+Po*#)+9"XQ 4x5[3 %c[2Hw^7A{pfa4"oc1 X{Zk$QTW'O6$0CA?5=Y,D=C%gd:hezkweBALp Oc71E/81}+cKc(_nKs{#6A$ 1"R]_H-dC3^14-?=T0gh is a sequence in which each term except the first is obtained by multiplying the previous term by a non-zero constant called the common ratio.Let us consider a G .P. 2. Less than 15% adverts. . /Length 15 The Stolz-Cesaro Theorem 38 Chapter 2. )Vm@9u8/9W*_itloqW>^!@}ulonr? xref , arn - 1, . endstream i.e., A finite Sequence has a finite number of terms. xP( 0000006219 00000 n lp{0.T,{6F8' Thus, a sequence is a function that has a specified value for each. N_P ^[:Fm4i|, -k8`wMx{g`v;?v%b;(?OzMK\#(fWCE(30ShlBo=jV'm4'Mnc%B_0K+L+?m1&hK]J2 6B>~/mjQdso6sY,GM)Y*"1wiy) S.F cvD!8h{%:#<1"#- "\bR{/qOGT p`HG(WC " Sequentially Complete Non-Archimedean Ordered Fields 36 9. Infinite Sequence: A sequence, which is not finite, is an infinite sequence. xref The radical test and the ratio test. 0000002656 00000 n Best Books for NEET 2023 Preparation: Biology, Physics and Chemistry. 0000006956 00000 n A Sequence is the arrangement of numbers or is a list of numbers following a clear pattern such that one number and the next are separated by comma (,). 2. 0000008142 00000 n 2. , arn - 1, . |0k:3%FZIhN=exNyO&TMyoN$\Q Introduction Inthis chapter,wewill look at: Arithmeticprogressions Geometric progressions Innite sequences Series andsigma notation Here, common ratio r = -1 u2>20`p`hio`i 0QA@`7c!l3BY-n1^ To continue the sequence, we look for the previous two terms and add them together. /Resources 27 0 R . 'F Fp)qN%Nv~]fBJG2]M|MB YB?jHnnVwk .UXK[8 B b|}{ The content of this chapter is considerably different from the content of the chapters before it. stream The range of a sequence is almost a countable set. 1. : 1;2;3;4;::: We represent a generic sequence as a1;a2;a3;:::,anditsn-th as a n. In order to de ne a sequence we must give enough information to nd its n-th term. Series of positive terms: The first main test and the comparison tests of the first and second kind. 0000009180 00000 n Build a sequence of numbers in the following fashion. +$dV6N-*d`oqSU9obBbhcA]psF={'b^?P! startxref b"ZvV++!05~wp0q?W:dT*#0PsSh`7"+j8tCo*#fgbYU K:+YRHCi,IAD\J:GBjK*Ey3Z$R{63eh-p\&k}LoRTNy/i*[!&vyvr Qg SEQUENCE AND SERIES. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. trailer Worse, depending on the situation, the same author (and this author) might use various notations for a sequence! 0yV%w09JI & bm17chy SG%(7aX O%@/Vy=Z/VRn/0e=7 ?IHb M;Rt @ =TKJ _b6zj:F`\8$1,n=7h i O XA1 The Littlest Witness (Gallagher Justice, Book 1) Pages; Get Online Absolute Beginner's Guide to WordPerfect X3 Book; Extrapolation, interpolation and smoothing of stationary time series Story; New Results and New Trends in Computer Science: Graz, Austria, June 20-21, 1991 Proceedings For Nook; Cosmic Evolution: The Rise of Complexity in Nature . Calculus 2 Sequences And Series PDF Book Details . Since we will want to discuss general sequences in this course it is neces- /Subtype /Form endobj 0000000016 00000 n !`2+%{RGsBt2H;eb-a[)]\,{T~H;QB_AmH` C endobj 0000003088 00000 n MATHEMATICS O LEVEL(FORM THREE) - SEQUENCE AND SERIES. To browse Academia.edu and the wider internet faster and more securely, please take a few seconds toupgrade your browser. endstream endobj 354 0 obj <> endobj 355 0 obj <> endobj 356 0 obj <>/Font<>/ProcSet[/PDF/Text]/ExtGState<>>> endobj 357 0 obj <> endobj 358 0 obj <> endobj 359 0 obj <> endobj 360 0 obj <>stream /Matrix [1 0 0 1 0 0] HMo0:J4f(oI*7ZK?R`Y&M|;:7t"k(a\zz%2KG`G:I&]_H=WO%z! %PDF-1.5 File Name: sequence-and-series-review-answers.pdf Size: 3365 KB Type: PDF, ePub, eBook. %%EOF H]K0sHn9/d~8?J7W4=CZB+(vW}FC=Yi92f9& hP;eS0|$"_|RBe~OPB<4{e*(f+K*I-z[%4k[*uX: 8Q$$ Ym-KfVqFZ%3c +0}`ASp9%m+;9]x^hn``=TRLm/OCphKp5Nhkl?ld2lgM>6br}6? 0000001857 00000 n 20 0 obj << Chapter 21: 3.3. She has been working on a side-project in her spare time, keeping it a . /Filter /FlateDecode 0000000016 00000 n 0000084148 00000 n Is a sequence, but 1+ 4+ 7+ 11+ Is a series. 0000005126 00000 n /Resources 5 0 R endstream endobj 2301 0 obj <>stream A set of even numbers Just click on the link, a new window will open containing all the NCERT Book Class 11 Maths pdf files chapter-wise. However , we expect a theoretical scheme or a rule for generating /Matrix [1 0 0 1 0 0] /FormType 1 Let the rst two numbers of the sequence be 1 and let the third number be 1 + 1 = 2. 0000004205 00000 n \Lz%N*Mq)5\7`}Ho~uv%. b`{@ '0I l d' /FormType 1 stream i.e., A finite Sequence has a finite number of terms. !6o0h8yh*Sm&s3O}lH;TE#_kCs>J~WAuY-[Crx5l.`>qnsC?YId"`G@ T o}> <<3F270220437E3543849A70E0C7F04B91>]>> L7@Pt7+ f (yc4>T26@_j:+ C-t U~s'~8901fT$4#T ecolebooks.com. xP( 0000005614 00000 n endobj Do or Die Chapters for NEET 2023 . >> This book is in The Guilford Practical Intervention in the Schools Series, edited by T. Chris Riley-Tillman. Is a set of numbers written in a definite order such that there is a rule by which the terms are obtained. Or. zlZ'hfzhW{Oe L"3 /Matrix [1 0 0 1 0 0] >> >> . 0000003258 00000 n Introduction to Functions of a Complex Variable J. H. Curtiss 2021-07-28 This book includes /Subtype /Form /Length 2178 CS 441 Discrete Mathematics for CS Lecture 10 Sequences and summations M. Hauskrecht CS 441 Discrete mathematics for CS. /Length 15 690CHAPTER 11INFINITE SEQUENCES AND SERIES 11.1 Sequences A sequencecan be thought of as a list of numbers written in a denite order: The number is called the rst term,is the second term,and in general is the nth term. Sign up for free access. Sonowwehave 1+2+3+4+5+6+ Just like with sequences, we don't want to have to write out a big string of additions every This content iscopyrighted by a Creative CommonsAttribution - Noncommercial (BY-NC) License. endstream >> 0000005577 00000 n with first non-zero term a and common ratio r, i.e., a, ar, ar2, . Denition 6.1 A sequence of real numbers is a function whose domain is a set of the form fn 2 Zj n mg where m is usually 0 or 1. The fourth number in the sequence will be 1 + 2 = 3 and the fth number is 2+3 = 5. HdSMo0WH kI Me*cl~(rID|Q^nO[*-TE,x. 0000008554 00000 n /Resources 12 0 R xP( Is there any reasonable approximation of the value of \(f(2)\)? Product details ASIN : B0071Q2P90 Publication date : January 25, 2012 Language . /Subtype /Form /FormType 1 xU{L[U}\tP&Z:!J^-+Dq@Bld-KHNI'e29,8(&ts>`z|{} $ qCxN /Subtype /Form >> Business subscription free for the first 30 days, then $5.99 /mo. "`0nfC);?1v,|k~p9 gT&p[N$ve.N,f|b]lQc9UYx~!hE3LbSg'Vtr(La/`8;_uiJ[lN\->bV4EK{_L;qp{=yg|1%)`LxmRV>}/rZ+2\E[4O.e-qQ+_)k~J9g KbjZtW +Zx /Type /XObject {a n } represents the ordered list a 1 , a 2 , a 3 , . Such sequence can only be described by verbal description. Chapter 20: 3.2. Share. 7 0 obj << The range of a sequence is almost a countable set. While the material we learn here definitely falls under the scope of "calculus,'' we will make very little use of derivatives or integrals. If we want to discuss some particular nite sequence we will specify that it is nite. endstream that is, the value of a series is the limit of a particular sequence. /Filter /FlateDecode Legal. R. Thus a sequence can be denoted by f(m), f(m + 1 . Download Infinite Sequences and Series Book in PDF, Epub and Kindle Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Chapter 2 27 Sequence and series Chapter 2 . endstream endobj 2330 0 obj <>/Size 2294/Type/XRef>>stream 14 sequences and series see a sequence written as a1,a2 a3,. 11 0 obj << q9:jiT{{%fze@hTE$,Wh|+9iNUI2y]P Uvq0 v|,l!^9.Im37kPB-|vmhFW'fgL{#"7YRz /Length 15 Example: a 1, a 2, a 3, a 4 .. NB: Each number found in a Series or Sequence is called a term. Contributions were made by Troy Siemers andDimplekumar Chalishajar of VMI and Brian Heinold of Mount Saint Mary's University. <<6A762C2F6465724D974D6FD4FDDF07DB>]>> /Subtype /Form 0000004283 00000 n %PDF-1.4 % We'll start with what a sequence is. Enter the email address you signed up with and we'll email you a reset link. Number Sequence And Series PDF Book Details . stream The topic of Taylor Series addresses this problem, and allows us to make excellent approximations of functions when limited knowledge of the function is available. 0000019613 00000 n /Type /XObject /Filter /FlateDecode Notation: {a n } is used to represent the sequence (note {} is the same notation used for sets, so be careful). 0000003494 00000 n Golden Real Analysis. With a focus on practical applications, the book demonstrates that infinite series are more than an academic exercise and helps students to conceptualize the theory with real . 0000002286 00000 n 0000002508 00000 n H|SMO@cp:n&&mGU1WjM to36/HXRU: xP( 0000002635 00000 n We know that you will love it. endstream endobj 2314 0 obj <>stream Infinite series. >> /Length 15 Sequences and Series _____ 2.1 Introduction: Many of them are beyond the scope of this book, but we shall explore the means of dealing with a number of practical, and often entertaining, problems of this type. Butthistime,insteadofjustlistingthenumbers,we're goingtoaddthemallup. Operating with Convergent Series. For example 1,4,7,11,. /Type /XObject endstream 1~!06&N,|}l77kl adbA:5z0i c]m@0^[ hm&tTu~oOgc}n,'fDe`mziCD#r 1.eM';M kZzA-g9C|QQhu`VH2zL We will deal exclusively with innite sequences and so each term will have a succes- sor . 0000084872 00000 n T)D^12b;uU*y9k 1a0KRw: q(/2+Q/[cO!f6. E.g. /Type /XObject /BBox [0 0 100 100] >> Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 0 These help kids to understand the series and sequences number and give them the ability to solve the problems. /Resources 24 0 R Sequences of values of this type is the topic of this rst section. endstream endobj 2316 0 obj <>/ExtGState<>>>/Type/XObject/BBox[0 0 13.287 34.547]>>stream Category: Book Uploaded: 2022-10-26 Rating: 4.6/5 from 566 votes. Series So,inasequence,wehadalistofnumbers 1;2;3;4;5;6; Inaseries,wehavesomethingsimilar. SEQUENCES AND SERIES 179 In the sequence of primes 2,3,5,7,, we find that there is no formula for the nth prime. Sequences. /Type /XObject 0000009534 00000 n 0000003856 00000 n We have up until now dealt withfunctions whose domains are the real numbers, or a subset of the real numbers, like f(x) = sinx. /Filter /FlateDecode Download Golden Sequences and Infinite Series Book in PDF, Epub and Kindle. 353 0 obj <> endobj Finite Sequence: A sequence <an > in which anmNn =0 > is said to be a finite Sequence. endstream endobj 2319 0 obj <>stream Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, more. 372 0 obj <>stream xP( [Book_title] is packed with rich and insightful information regarding Calculus 2 Sequences And Series . C|Y=hb-)cQvKaw:Ewow ( A sequence is a function whose domain is a set of the form \ (\ {n\in \mathbb {Z}\ : \ n\ge m\}\); m is usually 1 or 0. So the rst ten terms of the . endstream "PR@ A series can be finite (for example, it might only have 25 terms) or infinite, and the notation needs to allow for both. The Main Tests for Infinite Series. Description. /Filter /FlateDecode .BRPN: I4%]BG3oh%,k-d?hoV-*m}-Q|-JcHoH& }*Z?Q1i2m#dX;`\cg1@L{ Mr|=u6PD'T$H/1'Kv2 "uy]|qCIWgZ'z;s$k{G(v;O%ZnH0 r You could not on your own going as soon as book endstream endobj 2295 0 obj <>/Metadata 334 0 R/Pages 333 0 R/StructTreeRoot 336 0 R/Type/Catalog/Lang(en-US)>> endobj 2296 0 obj <>/MediaBox[0 0 504 702]/Resources<>/Font<>/ProcSet[/PDF/Text]/ExtGState<>>>/Type/Page>> endobj 2297 0 obj <> endobj 2298 0 obj <> endobj 2299 0 obj [250 0 0 0 500 833 0 0 333 333 0 564 250 333 250 278 500 500 500 500 500 500 500 500 500 500 278 278 564 564 564 444 0 722 667 667 722 611 556 722 722 333 0 722 611 889 722 722 556 722 667 556 611 722 722 944 0 0 0 333 0 333 0 500 333 444 500 444 500 444 333 500 500 278 0 500 278 778 500 500 500 500 333 389 278 500 500 722 500 500 444 0 200] endobj 2300 0 obj <>stream Real Series 39 1. 17 0 obj << 0000003223 00000 n %PDF-1.4 % /BBox [0 0 100 100] 11.1 Sequences While the idea of a sequence of numbers, a1,a2,a3,. Download Golden Sequences And Infinite Series full books in PDF, epub, and Kindle. x |Tw,w;K&3I2[&! /FormType 1 1 2 + 1 4 + 1 8 + = n=1 1 2n = 1 We will need to be careful, but it turns out that we can indeed walk across a room! xP( We are thrilled to announce the release of Calculus 2 Sequences And Series . Chapter 19: 3.1. /Subtype /Form 0000001772 00000 n Numbers form the basis of mathematics, and children must understand the concept of numbers. 7. NCERT Book Class 11 Maths Chapter 9 Sequences and Series View Download Download NCERT Book for Class 11 Maths PDF It is easy to download the NCERT Class 11 Books. xP( /Length 15 /Type /XObject Although much of the mathematics we've done in this course deals with algebra and graphing, many mathematicians would say that in general mathematics deals with patterns, whether they're visual patterns or numerical patterns. /Length 15 0000006845 00000 n +$dV6N-*d`oqSU9obBbhcA]psF={'b^?8! Sequences are, basically, countably many numbers arranged in an ordered set that may or may not exhibit certain patterns. Chapter 18: Chapter 3. 0000097051 00000 n 1.1.2 Bounds of a Sequence and . on square summable sequences and a brief introduction to normed linear spaces. 2. /Matrix [1 0 0 1 0 0] j v\zfsx9sx9{ " endobj 0 n Download PDF of NCERT Solutions for Class 11 Maths Chapter 9- Sequences and Series Access exercise-wise NCERT Solutions for Class 11 Maths Chapter 9 from the below links: Exercise 9.1 Solutions: 14 Questions Q dcq@EObJ(@H*2,`cd L8D\,L$:Oc-S%*WJ+sHQZnQKo|'UpfxCe%y`[M &5sf['_b?1iBB 0000010577 00000 n These solutions have been designed after undertaking extensive research on each question and their problem-solving methods. stream Basic Operations on Series 44 3. >> Read online free Golden Sequences And Infinite Series ebook anywhere anytime. { "8.01:_Sequences" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "8.02:_Infinite_Series" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "8.03:_Integral_and_Comparison_Tests" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "8.04:_Ratio_and_Root_Tests" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "8.05:_Alternating_Series_and_Absolute_Convergence" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "8.06:_Power_Series" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "8.07:_Taylor_Polynomials" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "8.08:_Taylor_Series" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "8.E:_Applications_of_Sequences_and_Series_(Exercises)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()" }, { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "01:_Limits" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "02:_Derivatives" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "03:_The_Graphical_Behavior_of_Functions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "04:_Applications_of_the_Derivative" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "05:_Integration" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "06:_Techniques_of_Integration" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "07:_Applications_of_Integration" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "08:_Sequences_and_Series" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "09:_Curves_in_the_Plane" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "10:_Vectors" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "11:_Vector-Valued_Functions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "12:_Functions_of_Several_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "13:_Multiple_Integration" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "14:_Appendix" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()" }, { "Applied_Calculus_(Calaway_Hoffman_and_Lippman)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass226_0.b__1]()", "Book:_Active_Calculus_(Boelkins_et_al.)" 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