Complex Analysis: Theory and Applications · Problem 4.1.7

Sequences, Series, and Fractals — Howell & Matthews

Mathematics — Complex Analysis · sequence-limit-existence

Problem

Does lim⁡n→∞(1+i2)n\displaystyle\lim_{n\to\infty}\left(\frac{1+\sqrt{i}}{2}\right)^n exist? Why or why not?

Related theory

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