Let's evaluate the limit of $e^x$ when $x\to \mathrm{+\infty }$

ⓘ A number greater than 1 raised to a power that grows without bound grows without bound, a number between 0 and 1 tends to 0

So the limit of $e^x$ is $\mathrm{+\infty }$ when $x\to \mathrm{+\infty }$

▶Limit:   $\mathrm{+\infty }$