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Math Help - proving Exp (it) is continuous

  1. #1
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    proving Exp (it) is continuous

    How could i show that f(t)=exp(it), where i is square root of -1, is continuous?
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by johnbarkwith View Post
    How could i show that f(t)=exp(it), where i is square root of -1, is continuous?
    Just pick an arbitrary value c and show that \forall{c}~\lim_{t\to{c^-}}e^{it}=\lim_{t\to{c^+}}e^{it}=e^{ic}
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