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.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Systems Of Equations And Inequalities

Section5.3: Partial Fractions

Problem 12E

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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.

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