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#### chisigma

##### Well-known member

The first unsolved question is 'easy enough' and was posted on www.mathhelpforum.com by the user zokomoko...

*I've tried multiplying and dividing by sqrt()+1 and then used (a-b)(a+b)=a*

^{2}-b^{2}but got nowhere...$\displaystyle \lim_{n \rightarrow \infty} \sum_{k=1}^{n} (\sqrt{1 + \frac{k}{n^{2}}}-1)\ (1)$

Kind regards

$\chi$ $\sigma$