# Math Help - Limit

1. ## Limit

What is the limit of e^x as x tends to infinity?

2. Originally Posted by roshanhero
What is the limit of e^x as x tends to infinity?
It becomes unbounded.
Thus we write $\lim_{x\to \infty} e^x = \infty$.

3. Originally Posted by ThePerfectHacker
It becomes unbounded.
Thus we write $\lim_{x\to \infty} e^x = \infty$.
It becomes bigger than any number we care to specify so we write:

$\lim_{x\to \infty} e^x = \infty$.

$e^x \sin(x)$ is unbounded but we would not write:

$\lim_{x\to \infty} e^x \sin(x) = \infty$.

CB