Calculate Limit - Wolfram Alpha

[puzzek]

Calculate the limit of :

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

Thanks for the help.

 

[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

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

 

[puzzek]

micromass Thank you!

your tip made it a lot easier !