Express sum as a definite integral

  • Thread starter Bohrok
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  • #1
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Homework Statement

If n is a positive integer, then
[tex]\lim_{n\to\infty}\frac{1}{n}\left[\left(\frac{1}{n}\right)^2+\left(\frac{2}{n}\right)^2+\cdot\cdot\cdot+\left(\frac{n-1}{n}\right)^2\right][/tex]can be expressed by what definite integral?

The attempt at a solution

A student I was helping had this problem and I had no idea how to even start. It was a problem along with other basic calc I definite and indefinite integrals, so I'm guessing it has some easy solution that I'm completely missing.
 

Answers and Replies

  • #2
Dick
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You don't know Riemann sums as approximations to integrals??
 
  • #3
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I knew it was something simple :rolleyes:
Makes sense; now I just need to figure out f(x)...
 

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