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Why is the domain of arctan power series |x|<=1?

  1. Aug 12, 2008 #1
    Why is the domain of arctan power series |x|<=1?
    i understand why a power series has the domain |x|<1, but why is the power series of arctan |x|<=1?
    thanks!

    also, why are domains of the taylor expansions of coshx and sinhx: for all x?
     
  2. jcsd
  3. Aug 12, 2008 #2

    arildno

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    What do you know about the complex number plane?
     
  4. Aug 13, 2008 #3

    mathwonk

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    are you kidding? arctan is the integral of 1/(1+x^2). what makes it look undefined at some points of |z| = 1?
     
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