Complex Analysis: Theory and Applications · Problem 4.1.17

Sequences, Series, and Fractals — Howell & Matthews

Mathematics — Complex Analysis · sequence-limit-zero-modulus

Problem

Prove that lim⁡n→∞zn=0\displaystyle\lim_{n\to\infty} z_n = 0 iff lim⁡n→∞∣zn∣=0\displaystyle\lim_{n\to\infty} |z_n| = 0.

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