Mathematics

Mathematics

Problem

For which real values of pp does the series ∑n=1∞nn1+p+1\displaystyle \sum_{n=1}^{\infty}\frac{n}{n^{1+p}+1} converge? a) It converges exactly when p≥1p\ge 1. b) It converges for all p>0p>0. c) It converges exactly when p>1p>1. d) It converges exactly when p<−1p<-1.

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