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• Series
  [[image:Taylor polynomials 0.png| center]] [[image:Taylor polynomials.png| center]]
  113 KB (19,100 words) - 23:07, 3 January 2019
• Vector and complex variables
  ==Series and power series== ...called by the ''sum of the sequence'' or, more commonly, the ''sum of the series'', '''denoted''' by:
  113 KB (18,750 words) - 02:33, 10 December 2018
• Calculus 2: exercises
  ==Series== #The sequence of partial sums of any series converges.
  6 KB (823 words) - 20:23, 13 June 2011
• Calculus exercises: part II
  ...nd $\sqrt{4.01}$ with accuracy at least $.001$. We are to approximate with Taylor polynomials the function $f(x)=x^{1/2}$ around the point $a=4$. ==Series==
  15 KB (2,591 words) - 17:15, 8 March 2018
• Calculus by Rogawski
  ==Chapter 8: Further Applications of the Integral and Taylor Polynomials== 8.4 [[Taylor Polynomials]]
  6 KB (634 words) - 16:38, 1 March 2013
• Calculus 2: final
  #Test the following series for convergence (including absolute/conditional): $∑\sin ²n/√(n⁵-1)$ #Find the radius and the interval of convergence of the series $∑(1+n)(x+2)ⁿ/2ⁿ$.
  4 KB (567 words) - 20:23, 13 June 2011
• Calculus by Stewart
  ...es]]. [[Linear approximation]]s and [[differentials]]. Laboratory project: Taylor polynomials. Hyperbolic functions. 11. Infinite sequences and series.
  6 KB (794 words) - 16:29, 13 August 2017
• Calculus Illustrated
  *Chapter 5. Series 2 The Taylor polynomials
  16 KB (1,933 words) - 19:50, 28 June 2021
• Calculus II -- Fall 2014
  ...I.'' Applications of the integral, techniques of integration, and infinite series. A study of conic sections, polar coordinates, and parametric equations. ...student will learn to integrate fluently, apply integration, use infinite series, become familiar with introductory multivariable calculus.
  5 KB (744 words) - 02:44, 10 December 2014
• Calculus II -- Spring 2018 -- final exam
  $\bullet$ '''6.''' Find the cubic Taylor polynomial one would need to approximate $\cos (.01)$. ...' (a) State the definition of the sum of a series. (b) Find the sum of the series $$\sum _{n=0}^{\infty} \frac{(-1)^n+2}{3^n}.$$
  2 KB (283 words) - 18:54, 3 May 2018
• Differential equations
  ...f$. And so on. We will need all the Taylor polynomials, i.e., the Taylor ''series''. The idea is explained in Chapter 23.
  64 KB (11,426 words) - 14:21, 24 November 2018
• Calculus II -- Fall 2012 -- final exam
  4. (a) State the definition of the sum of a series. (b) Use (a) to prove the Sum Rule. 5. Find the sum of the series $$\sum _{n=0}^{\infty} \frac{(-1)^n+2}{3^n}.$$
  1 KB (199 words) - 20:06, 19 December 2012
• Fantasy math
  ...cus on the important stuff, such as [[Taylor series|Taylor]] and [[Fourier series]] etc.
  8 KB (1,196 words) - 13:02, 24 August 2015
• Testing...
  ...tion of the sum of a series. (b) Give examples of convergent and divergent series. $\bullet$ '''4.''' Apply the Integral Test to show that the series converges or diverges:
  2 KB (221 words) - 14:30, 14 December 2018
• Calculus II -- Fall 2018 -- final exam
  ...tion of the sum of a series. (b) Give examples of convergent and divergent series. $\bullet$ '''4.''' Apply the Integral Test to show that the series converges or diverges:
  1 KB (225 words) - 19:27, 14 December 2018
• Calculus 2: course
  ...main goal is some familiarity with the integral and its applications, and series. *[[Series]]
  1 KB (117 words) - 16:25, 9 September 2013
• Calculus 2: test 3
  #Find the Taylor polynomial of order $2$ centered at $c=\pi/2$ of the function $$f(x)=\sin^{ #Find the radius and the interval of convergence of the series $$\sum\dfrac{(x-1)^{n}}{\sqrt{n}2^{n}}.$$
  2 KB (318 words) - 20:24, 13 June 2011
• Calculus II -- Fall 2014 -- final exam
  ...(a) State the definition of absolute convergence. (b) Give an example of a series that converges but not absolutely. $\bullet$ '''7.''' What degree Taylor polynomial one would need to approximate $\sin (-.01)$ within $.001$? Expla
  2 KB (312 words) - 16:00, 14 December 2014
• Internal structure of a vector space: part 1
  ...mbination of $\sin nx$, $\cos nx$, possibly infinitely many. See [[Fourier series]], not linear algebra though. ...ls is a polynomial. (to get $\sin$ and other non-polynomials, use [[Taylor series]].)
  10 KB (1,614 words) - 17:13, 22 May 2012
• Algebraic operations with forms and cohomology
  ...2, \ldots\}$ is [[linearly independent]] (${\rm span} \leftarrow$ [[Taylor series]]). This series is a function for every $x$.
  8 KB (1,289 words) - 15:11, 9 October 2012

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