Let $\displaystyle N > M $. Prove that for $\displaystyle k > 1 $, $\displaystyle \sum_{n=M+1}^{N} n^{-k} = O(M^{-k+1}) $ as $\displaystyle M \to \infty $.

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- Sep 10th 2009, 07:53 AM #1

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- Sep 11th 2009, 06:52 AM #2

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