Evaluate-lim-n-n-n-2-

Question Number 155295 by mathdanisur last updated on 28/Sep/21

Evaluate : \lim_{n \to \infty} \frac{Σ n}{n^{2}} = ?

Commented by mathdanisur last updated on 28/Sep/21

Very nice S er, thank you

Commented by MJS_new last updated on 28/Sep/21

\underset{j = 1}{\sum^{n}} j = \frac{n^{2} + n}{2}

\frac{\frac{n^{2} + n}{2}}{n^{2}} = \frac{1}{2} + \frac{1}{2 n}

\Rightarrow answer is \frac{1}{2}

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