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Definite Integral: Limit of a Summation

  1. Mar 30, 2010 #1
    1. The problem statement, all variables and given/known data

    Hi guys, i have a exercise of the limit of a summation that is the formal definition of definite integral and i need resolve and explain, but i can't resolve for the rational exponent, for this, need help, thanks in advance.

    2. Relevant equations

    [itex]\lim_{n \rightarrow \infty} \sum_{i=1}^{n} {(1+\frac{2}{n}(i-0.3))^{\frac{7}{5}}\frac{2}{n}[/itex]

    3. The attempt at a solution

    I can solve this expretion but with a integer exponent, not with a rational exponent.
  2. jcsd
  3. Mar 31, 2010 #2
    Help me, please.
  4. Mar 31, 2010 #3


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    Science Advisor
    Homework Helper

    That really doesn't look like a Riemann sum to me. Were you given that sum?
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