Mathematics

Mathematics

Problem

To determine the convergence of ∑n=1∞2n4+n25n5−7,\sum_{n=1}^{\infty}\frac{2n^{4}+n^{2}}{5n^{5}-7}, which of the following benchmark series would be most appropriate to use? a) ∑n=1∞1n4\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^{4}} b) ∑n=1∞1n2\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^{2}} c) ∑n=1∞1n\displaystyle \sum_{n=1}^{\infty}\frac{1}{n} d) ∑n=1∞1n3/2\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^{3/2}}

Browse the problem library