# Prove that the limit of the functions

how do you prove that the limit of the functions $$cos(x) ,sen(x), e^{ix}$$ is 0 when $$x\rightarrow\infty$$

another question what would be the limit of $$(1+x)^i$$ tending x to infinite?..thanx

Zurtex
$$e^{ix}$$
$$e^{ix} = \cos(x) + i\sin(x)$$
$$\lim_{x \rightarrow \infty} e^{(i-1)x}$$