Answer
$\lim\limits_{x \to \infty}e^x = \infty$
Work Step by Step
Let $f(x) =e^x$
This function is defined on the interval $(-\infty,\infty)$
Let $M \gt 1$ be given.
Let $N = ln(M)$
Suppose that $x \gt N$
Then:
$e^x \gt e^N = e^{ln(M)} = M$
Therefore, $\lim\limits_{x \to \infty}e^x = \infty$
