Find the limit $\> \displaystyle \lim_{x \rightarrow +\infty} \frac{e^{x}+e^{-x}}{e^{x}-e^{-x}}$

Enter inf for $\infty$, -inf for $-\infty$, and DNE if the limit does not exist.

HINT: Factor $e^x$ out of the numerator and denominator.