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By the alternating series test, the series 3(-1)+1 k(k+8) 3 k(k+8) First find the partial fraction decomposition of 3 converges. Find its sum.

By the alternating series test, the series 3(-1)+1 k(k+8) 3 k(k+8) First find the partial fraction decomposition of 3 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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16 By the alternating series test, the series First find the partial fraction decomposition of 3 k(k+8) Then find the limit of the partial sums. k+1 3(-1)- k(k+8) k=1 Enter your answer for the sum as a reduced fraction. Add Work 3(-1) k+1 k(k+8) 3 k(k+8) Check Answer converges. Find its sum.
Transcribed Image Text:16 By the alternating series test, the series First find the partial fraction decomposition of 3 k(k+8) Then find the limit of the partial sums. k+1 3(-1)- k(k+8) k=1 Enter your answer for the sum as a reduced fraction. Add Work 3(-1) k+1 k(k+8) 3 k(k+8) Check Answer converges. Find its sum.
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