evaluate-lim-n-k-1-n-1-n-k-2-

Question Number 112492 by mathdave last updated on 08/Sep/20

e v a l u a t e

\lim_{n \to \infty} \underset{k = 1}{\sum^{n}} \frac{1}{n + k^{2}}

Answered by Ar Brandon last updated on 08/Sep/20

1 ⩽ k ⩽ n \Rightarrow 1 ⩽ k^{2} ⩽ n^{2} \Rightarrow n + 1 ⩽ n + k^{2} ⩽ n + n^{2}

Double subscripts: use braces to clarify

Double subscripts: use braces to clarify

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Commented by mathdave last updated on 08/Sep/20

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