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Math Help - inifinite sequence

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    inifinite sequence

    An=(-1)^(n-1)[n]/(n^2 + 1) is the sequence convergent? if so, what's the limit.
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    Quote Originally Posted by twilightstr View Post
    An=(-1)^(n-1)[n]/(n^2 + 1) is the sequence convergent? if so, what's the limit.
    a_n = \frac{(-1)^{n-1}n}{n^2+1}

    look at the main part of the nth term ...

    as n \to \infty , \frac{n}{n^2+1} \to 0
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