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Math Help - Find largest term of the sequence?

  1. #1
    Super Member fardeen_gen's Avatar
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    Find largest term of the sequence?

    Find the largest term of the sequence whose n^{th} term is given by:

    t_n = \frac{n^2}{n^3 + 5}
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  2. #2
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    Quote Originally Posted by fardeen_gen View Post
    Find the largest term of the sequence whose n^{th} term is given by:

    t_n = \frac{n^2}{n^3 + 5}
    The maximum value of f(x) = \frac{x^2}{x^3 + 5} occurs when x = \sqrt[3]{10}.

    So which is bigger: \frac{4}{13} or \frac{9}{32}?
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