Approximate the value of the series to within an error of at most 10–4. ∞ n=1 -1) n+1 n5 Apply the Corollary to Theorem (2) from Section 10.4, |S – SN| < bN+1, to determine the smallest value of N that approximates S to within an error of at most 10–4. N = 6 S≈ 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
Question
Approximate the value of the series to within an error of at most 10–4.
∞
n=1
-1) n+1
n5
Apply the Corollary to Theorem (2) from Section 10.4,
|S – SN| < bN+1,
to determine the smallest value of N that approximates S to within an error of at most 10–4.
N = 6
S≈ 1
Transcribed Image Text:Approximate the value of the series to within an error of at most 10–4. ∞ n=1 -1) n+1 n5 Apply the Corollary to Theorem (2) from Section 10.4, |S – SN| < bN+1, to determine the smallest value of N that approximates S to within an error of at most 10–4. N = 6 S≈ 1
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