Complex Analysis: Theory and Applications · Problem 4.1.2

Sequences, Series, and Fractals — Howell & Matthews

Mathematics — Complex Analysis · principal-root-limit

Problem

Show that

\displaystyle\lim_{n\to\infty}(i)^{\frac{1}{n}} = 1

, where

(i)^{\frac{1}{n}}

is the principal value of the

n

th root of

i