Complex Analysis: Theory and Applications · Problem 4.3.7

Elementary Functions — Howell & Matthews

Mathematics — Complex Analysis · geometric-series-divergence

Problem

In the geometric series, show that if ∣z∣>1|z| > 1, then lim⁡n→∞∣Sn∣=∞\lim_{n\to\infty} |S_n| = \infty.

Related theory

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