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GATE XE 2024 | Question: 8

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Consider $f(z)=e^{z}$, where $z=x+i y$ and $i=\sqrt{-1}$. Which of the following statements is correct?

  1. $f$ is periodic
  2. $f$ is not periodic
  3. $|f|=1$
  4. $\arg (f)=y \pm n \pi$ for all $n=0,1,2, \ldots$

     

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