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Math Help - test for convergence or divergence

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    test for convergence or divergence

    What test should i use for this function [(2n+1)^n]/n^2n. You dont have to solve it, just tell me which one is the easiest test for this function.

    thanks
    -mikke
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    Quote Originally Posted by johntuan View Post
    What test should i use for this function [(2n+1)^n]/n^2n. You dont have to solve it, just tell me which one is the easiest test for this function.
    The root test? \sqrt[n]{{\frac{{\left( {2n + 1} \right)^n }}<br />
{{n^{2n} }}}} = \frac{{2n + 1}}{{n^2 }}.
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    Quote Originally Posted by johntuan View Post
    What test should i use for this function [(2n+1)^n]/n^2n. You dont have to solve it, just tell me which one is the easiest test for this function.

    thanks
    -mikke
    nth root test
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    ahh thanks...makes sense
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    Quote Originally Posted by johntuan View Post
    What test should i use for this function [(2n+1)^n]/n^2n. You dont have to solve it, just tell me which one is the easiest test for this function.

    thanks
    -mikke
    I'd use the nth root test: Root Test
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    btw the answer is converge right?
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    Quote Originally Posted by johntuan View Post
    btw the answer is converge right?
    why?
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    limit goes to zero.
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  9. #9
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    Quote Originally Posted by johntuan View Post
    limit goes to zero.
    muy bien.
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