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Homework Help: Calculate the limt

  1. Jul 4, 2011 #1
    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. jcsd
  3. Jul 4, 2011 #2
    Hi puzzek! :smile:

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

    [tex]\sum_{k=1}^{+\infty}{f(\frac{k}{n})\frac{1}{n}}[/tex]

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

    [tex]\lim_{n\rightarrow +\infty}{\sum_{k=1}^{+\infty}{f(\frac{k}{n})\frac{1}{n}}}=\int_0^1{f(x)dx}[/tex]
     
  4. Jul 5, 2011 #3
    micromass Thank you!

    your tip made it a lot easier !
     
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