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Math Help - Infinite Sum Limit

  1. #1
    Junior Member
    Joined
    Mar 2010
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    51

    Infinite Sum Limit

    I had some trouble with this problem while preparing for the Calculus BC AP test. Any tricks to a solution?

    The problem reads:

    If n is a positive integer, then \lim_{n\rightarrow+\infty} \frac{1}{n}\left( \sin \left( \frac{\pi }{n} \right)\; +\; \sin \left( \frac{2\pi }{n} \right)\; +\; ...\; +\; \sin \left( \frac{n\pi }{n} \right) \right)<br />
    and the answer choices are as follows:

    A.) 0
    B.) 2/pi
    C.) pi/2
    D.) 2
    E.) 2pi
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    Santiago, Chile
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    you know what a Riemann sum is?
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