The question is:

Let $\displaystyle Log z = ln \left | z \right | + i \theta $ where $\displaystyle -\pi < \theta \leq \pi $and $\displaystyle z=\left | z \right | e^{i\theta}$, $\displaystyle (z\neq 0)$. Prove that Log is not continuous on$\displaystyle (- \infty,0).$

Hint: Consider the sequences {-1+i/n} and {-1-i/n}.

I am not sure how I should be using these sequences in the proof.

Please help!