GATE XE (Engineering Sciences) 2024 - Question 18

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Section: Engineering Mathematics | Marks: 2

Consider 𝑓(𝑧) = 𝑒𝑧, where 𝑧= π‘₯+ 𝑖𝑦⁑and 𝑖= βˆšβˆ’1. Which of the following statements is correct ?

  • A. 𝑓 is periodic
  • B. 𝑓 is not periodic
  • C. |𝑓| = 1
  • D. arg(𝑓) = 𝑦± π‘›πœ‹β‘β‘for⁑all⁑𝑛= 0, 1, 2, …

Answer: A. 𝑓 is periodic

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