Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top


How should one approach such a question? A hint would be helpful

share|cite|improve this question
Check the question , It is very similiar… – Mathlover Jan 28 '13 at 9:00
Squeeze DOES work here. – Did Feb 12 '13 at 10:11
up vote 4 down vote accepted

Hint: rewrite this as a Riemann sum, so that the limit is an integral.

share|cite|improve this answer

I try
\begin{align}\lim_{n\to\infty}\sum_{k=1}^{n}{{1}\over{\sqrt{n^2+2kn}}}&=\lim_{n\to\infty}\frac{1}{n}\sum_{k=1}^{n}{{1}\over{\sqrt{1+\frac{2k}{n}}}}\\ &=\int_{0}^1\frac{1}{\sqrt{1+2x}}\,\,dx\end{align}

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.