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Math Help - Expressing limits as definite integrals

  1. #1
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    Expressing limits as definite integrals

    Express the limit as a definite integral. [Hint: Consider f(x) = 4x^8.]



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    With twenty other postings, you should understand that this is not a homework service nor is it a tutorial service.
    PLease either post some of your own work on this problem or explain what you do not understand about the question.
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  3. #3
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    Quote Originally Posted by ioke09 View Post
    Express the limit as a definite integral. [Hint: Consider f(x) = 4x^8.]



    How would I start a problem like this?
    Review your notes or textbook on Riemann sums.
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  4. #4
    MHF Contributor chisigma's Avatar
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    If f(*) is Riemann-integrable in [a,b] , then...

    \displaystyle \int_{a}^{b} f(t)\ dt = \lim_{n \rightarrow \infty} \frac{b-a}{n} \sum_{i=1}^{n} f(a + i\ \frac{b-a}{n}) (1)

    Kind regards

    \chi \sigma
    Last edited by chisigma; November 25th 2010 at 07:07 PM. Reason: changed limits in sum...
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