Example For what values of x does the series Solution (x - 1)^ n |³0+1|| || Let an = II 1 -1 n Then we get the following. (x - 1)^ converge? (x - 1)^ |x-1| → as n→∞

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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Example
For what values of x does the series
Solution
Let an
a
=
n+1
an
(x - 1)^
n
=
=
||
00
1
n = 1
Then we get the following.
n
(x - 1)^
(x - 1) converge?
n
|x-1| →
as n → co
Transcribed Image Text:Example For what values of x does the series Solution Let an a = n+1 an (x - 1)^ n = = || 00 1 n = 1 Then we get the following. n (x - 1)^ (x - 1) converge? n |x-1| → as n → co
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