16By the alternating series test, the seriesFirst find the partial fraction decomposition of3k(k+8)Then find the limit of the partial sums.k+13(-1)-k(k+8)k=1Enter your answer for the sum as a reduced fraction.Add Work3(-1) k+1k(k+8)3k(k+8)Check Answerconverges. Find its sum.

Given that the series ∑k=1∞3(-1)k+1k(k+8).

Answered: By the alternating series test, the…

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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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.