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