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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 62E: Match the rational expression on the left with the correct partial fraction decomposition form on...
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By the alternating series test, the series
k=1
8
k(k + 2)
Then find the limit of the partial sums.
k+1
8(1)
8( − 1)k+1
k(k + 2)
8
k(k + 2)
First find the partial fraction decomposition of
k(k + 2)
k=1
Enter your answer for the sum as a reduced fraction.
converges. Find its sum.
Transcribed Image Text:By the alternating series test, the series k=1 8 k(k + 2) Then find the limit of the partial sums. k+1 8(1) 8( − 1)k+1 k(k + 2) 8 k(k + 2) First find the partial fraction decomposition of k(k + 2) k=1 Enter your answer for the sum as a reduced fraction. converges. Find its sum.
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