Question Number 159388 by amin96 last updated on 16/Nov/21
$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{1}}+\frac{\mathrm{2}}{\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{4}}+\frac{\mathrm{3}}{\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{9}}+\ldots\right)=? \\ $$