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Math Help - Direct Comparison Test Question

  1. #1
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    Direct Comparison Test Question

    LIMIT COMPARISON TEST (sorry)

    1/[2(square of n) + (cube root of n)] compared with 1/(square of n)


    I understand how to do the problem, my question is: how do I know to choose that equation to compare it with when there are two different n's in the denominator (n^1/2) and (n^3/2).
    Last edited by jujab; October 13th 2009 at 12:04 PM.
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  2. #2
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by jujab View Post
    LIMIT COMPARISON TEST (sorry)

    1/[2(square of n) + (cube root of n)] compared with 1/(square of n)


    I understand how to do the problem, my question is: how do I know to choose that equation to compare it with when there are two different n's in the denominator (n^1/2) and (n^3/2).
    What exactly is the problem?

    \frac{1}{2n^2+\sqrt[3]{n}} compared with \frac{1}{n^2}

    Or did you mean to say "square root of n", in which case it's

    \frac{1}{2\sqrt{n}+\sqrt[3]{n}} compared with \frac{1}{\sqrt{n}}
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  3. #3
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    I meant square root of n, thanks for catching that!
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