Complex Analysis: Theory and Applications · Problem 4.1.3

Sequences, Series, and Fractals — Howell & Matthews

Mathematics — Complex Analysis · limit-conjugate-sequence

Problem

Suppose that

\displaystyle\lim_{n\to\infty} z_n = z_0

. Show that

\displaystyle\lim_{n\to\infty}\overline{z_n} = \overline{z_0}