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Math Help - Question about convergence of sequence

  1. #1
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    Question about convergence of sequence

    say \displaystyle a_n=(0.999)^{n^4}, what is the limit as  n goes to \infty?
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  2. #2
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    Quote Originally Posted by crossbone View Post
    say \displaystyle a_n=(0.999)^{n^4}, what is the limit as  n goes to \infty?
    \displaystyle\lim_{n\to\infty}\left(\frac{999}{100  0}\right)^{n^4}

    The denominator, bottom, will grow faster so the limit is 0
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