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Math Help - Power Series

  1. #1
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    Power Series

    Find the power series about the origin of e^-z.

    So I know that I need to get this into the form 1/(1-n), but I don't know how...

    Please show. Thanks.
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  2. #2
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    Quote Originally Posted by jzellt View Post
    Find the power series about the origin of e^-z.

    So I know that I need to get this into the form 1/(1-n), but I don't know how...

    Please show. Thanks.
    Surely, you know that e^z=\sum_{n=0}^\infty\frac{1}{n!}z^n, and thus you have e^{-z}=\sum_{n=0}^\infty\frac{1}{n!}(-z)^n=\sum_{n=0}^\infty \frac{(-1)^n}{n!}z^n
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  3. #3
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    Quote Originally Posted by jzellt View Post
    Find the power series about the origin of e^-z.

    So I know that I need to get this into the form 1/(1-n), but I don't know how...

    Please show. Thanks.
    Read this: Taylor series - Wikipedia, the free encyclopedia
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