Σ -(2.r – 1)3". 14+1

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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[4] Consider the power series in number 3 and use the previous item to find its interval of convergence.

1. Use the Root Test to determine if the series
(-1)" 2/n
en? (2n2 – 1)"
CONVERGES
-
n=1
converges or diverges.
2. Determine if the series
3n
(-1)*" =CONVERGES
+ 1
n=1
converges or diverges.
3. Consider the power series
Note:
Use the previous item to find
its interval of convergence.
(2.x – 1)3".
-
n4 + 1
n=1
Transcribed Image Text:1. Use the Root Test to determine if the series (-1)" 2/n en? (2n2 – 1)" CONVERGES - n=1 converges or diverges. 2. Determine if the series 3n (-1)*" =CONVERGES + 1 n=1 converges or diverges. 3. Consider the power series Note: Use the previous item to find its interval of convergence. (2.x – 1)3". - n4 + 1 n=1
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