# Math Help - Montonically increasing

1. ## Montonically increasing

Just a general question.

Are all monotonically increasing functions divergent?

2. Originally Posted by dwsmith
Just a general question.

Are all monotonically increasing functions divergent?
how about $y = \arctan{x}$ ?

3. Originally Posted by dwsmith
Just a general question.

Are all monotonically increasing functions divergent?
In fact I just saw this function in another thread.

$f(x) = \frac{x}{|x| + 1}$

This is monotonically increasing, but $\displaystyle \lim_{x \to \pm \infty} = \pm 1$.

-Dan