Question Number 156734 by MathSh last updated on 14/Oct/21
Commented by talminator2856791 last updated on 15/Oct/21
$$\:\mathrm{is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{mistake}\:\mathrm{in}\:\mathrm{the}\:\mathrm{question}?\:\: \\ $$$$\:\mathrm{shouldnt}\:\mathrm{the}\:\mathrm{denomenator}\:\mathrm{be} \\ $$$$\:{mn}\left({m}+\mathrm{1}\right)^{\mathrm{2}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} \left({m}+\mathrm{2}\right)\left({n}+\mathrm{2}\right)\:\: \\ $$
Answered by mindispower last updated on 14/Oct/21
$$\geqslant\underset{{m}\geqslant\mathrm{1}} {\sum}\frac{\left({m}−\mathrm{1}\right)^{\mathrm{2}} }{\mathrm{48}{m}\left({m}+\mathrm{2}\right)}=+\infty \\ $$