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Homework Help: Limit/integral problem

  1. Sep 19, 2010 #1
    1. The problem statement, all variables and given/known data
    [tex]\underset{n\rightarrow\infty}{lim}\frac{e^{1/n}+e^{2/n}+e^{3/n}+\cdots+e^{n/n}}{n}[/tex]


    3. The attempt at a solution

    done something with Riemann sums however didn't get far, other than that i'm not to sure how to evaluate this. any help would be great, thanks (also not sure if i posted in the right place, if i didnt soz.)
     
  2. jcsd
  3. Sep 20, 2010 #2
    The top looks like a geometric series; please try computing the sum and see if it works.
     
  4. Sep 20, 2010 #3
    Consider f(x) = e^x on the interval [0,1]. Partition [0,1] into n equal subintervals and look at the upper and lower sums.
     
  5. Sep 20, 2010 #4
    Solved it thanks alot.
     
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