# Calculate the limt

1. Jul 4, 2011

### puzzek

Calculate the limit of :

[PLAIN]http://www3.wolframalpha.com/Calculate/MSP/MSP3119g718e25g367ahi000057f7afh4fdhed60b?MSPStoreType=image/gif&s=9&w=150&h=57 [Broken]

Thanks for the help.

Last edited by a moderator: May 5, 2017
2. Jul 4, 2011

### micromass

Hi puzzek!

Can you rewrite this series to a Riemann sum. That is, rewrite it to the form

$$\sum_{k=1}^{+\infty}{f(\frac{k}{n})\frac{1}{n}}$$

for a function f. Wshy should you do this? Well, since you know that

$$\lim_{n\rightarrow +\infty}{\sum_{k=1}^{+\infty}{f(\frac{k}{n})\frac{1}{n}}}=\int_0^1{f(x)dx}$$

3. Jul 5, 2011

### puzzek

micromass Thank you!

your tip made it a lot easier !