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Math Help - Limit of sum-fonction

  1. #1
    Super Member dhiab's Avatar
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    Limit of sum-fonction

    For all naturel number n .
    the function :
    Calculate :


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  2. #2
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    Isn't clear that f_n (x) = \sum\limits_{k = 0}^n {\frac{{x^2 }}{{\left( {1 + x^2 } \right)^k }}} ?

    Also that \left( {\forall x} \right)\left[ {\frac{1}{{\left( {1 + x^2 } \right)}} \leqslant 1} \right].
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  3. #3
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    Smile

    hi
    \frac{x^{2}}{(1+x^{2})^{n}} \to 0
    while n \to +\infty
    i might be wrong,i'm just trying to help
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