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Math Help - (Laurent) Series Expansion

  1. #1
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    (Laurent) Series Expansion

    Show that the series expansion for arctan(z) = z -z^3/3 + z^5/5 - z^7/7 + .... .
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  2. #2
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    start by using \arctan z=\int_{0}^{z}{\frac{dt}{1+t^{2}}}=\int_{0}^{z}{\l  eft( \sum\limits_{j=0}^{\infty }{\left( -t^{2} \right)^{j}} \right)\,dt}.
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