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How do I express a limit to infinity as a definite integral? (Example Inside)

Asked by HeroicZach (195points) March 15th, 2009

Here’s one of the questions I have:

lim x-> +infinity of:
1/n [ (1/n)^3 + (2/n)^3 + ... + (n/n)^3 ]

I am supposed to express that as a definite integral and then solve using the Fundamental Theorem (that’s the easy step).

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