Find the limit of each sequence that converges; if the sequence diverges, explain why.
(1) $\displaystyle z_n = (\frac{1+i}{\sqrt{3}})^n$
(2) $\displaystyle z_n = Log(1 + \frac{1}{n})$
Any help would be appreciated. Thanks!
$\displaystyle z_n = Log(1 + \frac{1}{n})$
To see if it converges,
$\displaystyle \lim_{n \to \infty} Log\bigg(1 + \frac{1}{n}\bigg) = Log(1 + 0) = Log(1)$
$\displaystyle \lim_{n \to \infty}Log(1 + \frac{1}{n}) = 0$
so it converges to 0
Shot went to do something and came back and was too late