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Thread: complex series

  1. #1
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    complex series

    Hi,
    I need to find the region where the following complex series converges:





    I computed the absolute value of the function and used the nth root test/Is it correct?
    if not,how can i find the region?
    Thank's in advance
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  2. #2
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    Re: complex series

    Quote Originally Posted by hedi View Post
    Hi,
    I need to find the region where the following complex series converges:
    Can you make the image readable?
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  3. #3
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    Re: complex series

    It is the series of (1/n^2)*exp(nz/(z-2))
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  4. #4
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    Re: complex series

    Quote Originally Posted by hedi View Post
    Hi,
    I need to find the region where the following complex series converges:





    I computed the absolute value of the function and used the nth root test/Is it correct?
    if not,how can i find the region?
    Thank's in advance
    yes, it is correct to use the n-th root test

    the series converges absolutely for

    \left|e^{\frac{z}{z-2}}\right|<1
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