# Math Help - proving Exp (it) is continuous

1. ## proving Exp (it) is continuous

How could i show that f(t)=exp(it), where i is square root of -1, is continuous?

2. Originally Posted by johnbarkwith
How could i show that f(t)=exp(it), where i is square root of -1, is continuous?
Just pick an arbitrary value $c$ and show that $\forall{c}~\lim_{t\to{c^-}}e^{it}=\lim_{t\to{c^+}}e^{it}=e^{ic}$