Complex Analysis: Theory and Applications · Problem 2.5.13

Analytic and Harmonic Functions — Howell & Matthews

Mathematics — Complex Analysis · limits-at-infinity

Problem

Use the definition in Exercise 3 to prove that lim⁡z→∞z+1z−1=1\displaystyle\lim_{z\to\infty}\frac{z+1}{z-1} = 1.

Related theory

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