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Math Help - integrals of 2 unknown variables.

  1. #1
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    Exclamation integrals of 2 unknown variables.

    Compute integral of [0 to 1] of Sn(x)dx and integral of [0 to 1] of limSn(x)dx where
    Sn(x)=nx/(nx+1)
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  2. #2
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    Quote Originally Posted by cowgirl123 View Post
    Compute integral of [0 to 1] of Sn(x)dx and integral of [0 to 1] of limSn(x)dx where
    Sn(x)=nx/(nx+1)
    use:

    \frac{nx}{nx+1} = \frac{(nx + 1) - 1}{nx+1} = 1 - \frac{1}{nx + 1}.

    \lim_{n \rightarrow +\infty} \left( 1 - \frac{1}{nx + 1} \right) = 1.
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