Saturday, 17 August 2013

The limit of a sum

The limit of a sum

How to compute this limit:
$$\lim_{n\to\infty}(\frac{n}{n^2+1^2}+\frac{n}{n^2+2^2}+\cdots+\frac{n}{n^2+n^2})$$
Please give me some hint. Thank you.

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