Find the Taylor series for f centered at 9 if p(n)(9) = _(-1)"n! 7"(n + 1) (-1)" (x – 9)" 7" (n + 1) n = 0 What is the radius of convergence R of the Taylor series? 1 R = 7

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the Taylor series for f centered at 9 if
(-1)"n!
7"(n + 1)
f(n)(9) =
(-1)"
(x- 9)"
7" (n + 1)
00
n = 0
What is the radius of convergence R of the Taylor series?
1
R
7
II
Transcribed Image Text:Find the Taylor series for f centered at 9 if (-1)"n! 7"(n + 1) f(n)(9) = (-1)" (x- 9)" 7" (n + 1) 00 n = 0 What is the radius of convergence R of the Taylor series? 1 R 7 II
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