Show that the series converges. Determine the smallest number of terms required to ap- proximate the sum of the series with < 10-³. 8 n=2 In(n²) 8 (b) (- (-1)+¹n 2n
Show that the series converges. Determine the smallest number of terms required to ap- proximate the sum of the series with < 10-³. 8 n=2 In(n²) 8 (b) (- (-1)+¹n 2n
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(3) Show that the series converges. Determine the smallest number of terms required to ap-
proximate the sum of the series with € < 10-³.
∞
(2) Σ (-1)"
In(n²)
n=2
(b)
n=1
(-1) n+¹ n
2n
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