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Thread: limits,complex numbers

  1. October 3rd 2009, 01:30 AM #1
    sidi
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    limits,complex numbers

    Could anybody help me with this limit please?
    I have to prove :

    <br /> \lim_{n \to \infty} (1+z/n)^n = e^z ,\ z=x+iy<br />

    Thank you for your help.
    Last edited by CaptainBlack; October 3rd 2009 at 11:59 PM.
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  2. October 4th 2009, 12:02 AM #2
    CaptainBlack
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    Quote Originally Posted by sidi View Post
    Could anybody help me with this limit please?
    I have to prove :

    <br /> \lim_{n \to \infty} (1+z/n)^n = e^z ,\ z=x+iy<br />

    Thank you for your help.
    Since this one of the definitions of the exponential function, we need to ask what definition of e^z you have to work with?

    CB
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