Mathematics

Mathematics

Problem

Consider the series ∑n=1∞(−1)n+1npnp+1\displaystyle \sum_{n=1}^{\infty}(-1)^{n+1}\frac{n^{p}}{n^{p}+1}. For which of the following describes the set of all real pp that produce convergence? a) p>0p>0 b) p<−1p<-1 c) p<0p<0 d) −1<p<1-1<p<1

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