By the alternating series test, the series First find the partial fraction decomposition of (六)( +10 k 4(−1)²+1 k=1k(k+ 10) 4 k(k+ 10) 4 k(k + 10) Then find the limit of the partial sums. 4(−1)k+1 k(k + 10) k=1 Enter your answer for the sum as a reduced fraction. converges. Find its sum.

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