Complex Analysis: Theory and Applications · Problem 5.1.11

Elementary Functions — Howell & Matthews

Mathematics — Complex Analysis · complex-exponential-limits

Problem

Verify that ((a))

\lim_{z\to 0} \dfrac{e^z - 1}{z} = 1

. ((b))

\lim_{z\to i\pi} \dfrac{e^z + 1}{z - i\pi} = -1