If f(n) (0) (n + 1)! for n = 0, 1, 2, 00 n = 0 00 = (n + 1)x" Σ (-1) + 1, (-1)+1x n = 0 00 Σn! -x" n = 0 n=0 (n + 1)x" n! 00 Σ(-1)^(n + 1)(n+2)x" n=0 Find its radius of convergence R. R = , find the Maclaurin series for f.

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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If f(n) (0) (n + 1)! for n = 0, 1, 2,
00
n = 0
00
=
(n + 1)x"
Σ (-1) + 1,
(-1)+1x
n = 0
00
Σn! -x"
n = 0
n=0
(n + 1)x"
n!
00
Σ(-1)^(n + 1)(n+2)x"
n=0
Find its radius of convergence R.
R =
, find the Maclaurin series for f.
Transcribed Image Text:If f(n) (0) (n + 1)! for n = 0, 1, 2, 00 n = 0 00 = (n + 1)x" Σ (-1) + 1, (-1)+1x n = 0 00 Σn! -x" n = 0 n=0 (n + 1)x" n! 00 Σ(-1)^(n + 1)(n+2)x" n=0 Find its radius of convergence R. R = , find the Maclaurin series for f.
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