Just a general question. Are all monotonically increasing functions divergent?
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Originally Posted by dwsmith Just a general question. Are all monotonically increasing functions divergent? how about $\displaystyle y = \arctan{x}$ ?
Originally Posted by dwsmith Just a general question. Are all monotonically increasing functions divergent? In fact I just saw this function in another thread. $\displaystyle f(x) = \frac{x}{|x| + 1}$ This is monotonically increasing, but $\displaystyle \displaystyle \lim_{x \to \pm \infty} = \pm 1$. -Dan
Last edited by topsquark; Mar 27th 2011 at 12:41 PM. Reason: I'll get this right yet...