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lim-n-n-2-n-n-k-1-n-cos-kpi-n-




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

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