n-1-5n-n-2-3-

Question Number 144190 by mathdanisur last updated on 22/Jun/21

\underset{n = 1}{\sum^{\infty}} \frac{5 n}{n^{2} + 3} = ?

Answered by mathmax by abdo last updated on 23/Jun/21

this serie is divergent due to \frac{5 n}{n^{2} + 3} \sim \frac{5}{n}

Commented by mathdanisur last updated on 23/Jun/21

S i r, \underset{n = 1}{\sum^{\infty}} \frac{5 n}{n^{2} + 3} = \underset{1}{\int^{\infty}} \frac{5 x}{x^{2} + 3} d x . ?