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Math Help - Limite

  1. #1
    Junior Member
    Joined
    Aug 2009
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    62

    Limite

    Hi eveybody,

    i must calculate the following limit:

    \forall n\in \mathbb{N}*, F_n is the function that is defined as follows:

    \lim_{x\to \frac{\pi}{2}} F_n(x)=\frac{(1-sinx)(1-sin^2x)...(1-sin^nx)}{cos^{2n}x}

    I don't know what to do? (use substitution?)

    Can you help me please

    And thank you anyway.
    Last edited by lehder; August 24th 2009 at 01:38 PM.
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  2. #2
    Super Member Matt Westwood's Avatar
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    Jul 2008
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    Reading, UK
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    First note that 1 - \sin^2 x = cos^2 x which should help cancel out some of the cosines on the bottom.
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