Question Number 160440 by qaz last updated on 29/Nov/21
$$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\left(\sqrt{\mathrm{n}^{\mathrm{2}} +\mathrm{n}}+\mathrm{n}\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\mathrm{cos}\:\frac{\mathrm{k}\pi}{\mathrm{n}}\right)=? \\ $$