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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.

by | Sep 8, 2023 | calculus

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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.
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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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