Mathematics

Mathematics

Problem

Determine for which real values of pp the series ∑n=1∞1np\displaystyle\sum_{n=1}^{\infty}\dfrac{1}{n^{p}} converges. a) It converges only when p≥1p\ge 1. b) It converges for all p>0p>0. c) It converges only when p>1p>1. d) It converges only when 0<p<10<p<1.

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