2+(-1)* k2 3. 10.5.27 Note that 2+ (-1)k < 3 for k > 1. It follows that 3 for k > 1. Because k2 k=1 1 E and 3. converges. It follows that the given series converges by 3. k2 k2 is a convergent p-series, k2 k=1 k=1 k=1 the Comparison Test.

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