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By the alternating series test, the series 2(-1)*+1 k(k+8) 2 k(k + 8) First find the partial fraction decomposition of 2 k(k + 8) Then find the limit of the partial sums. 2(-1)*+1 k(k + 8) Enter your answer for the sum as a reduced fraction. converges. Find its sum.

By the alternating series test, the series 2(-1)*+1 k(k+8) 2 k(k + 8) First find the partial fraction decomposition of 2 k(k + 8) Then find the limit of the partial sums. 2(-1)*+1 k(k + 8) Enter your answer for the sum as a reduced fraction. converges. Find its sum.

Advanced Engineering Mathematics
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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I need some help with finding the sum of a convergent series in an alternating series test. I included an image. Thanks!

By the alternating series test, the series 2(-1)*+1 k(k+8) 2 k(k + 8) First find the partial fraction decomposition of 2 k(k + 8) Then find the limit of the partial sums. 2(-1)*+1 k(k + 8) Enter your answer for the sum as a reduced fraction. converges. Find its sum.
Transcribed Image Text:By the alternating series test, the series 2(-1)*+1 k(k+8) 2 k(k + 8) First find the partial fraction decomposition of 2 k(k + 8) Then find the limit of the partial sums. 2(-1)*+1 k(k + 8) Enter your answer for the sum as a reduced fraction. converges. Find its sum.
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