I know the derivative is greater than $0$ for all $x$ in $(0, \pi/2)$, but how to show $\tan(x)-x $ is greater than $0$ as $x$ approaches $0$?
Note: we have not yet learned l'hospitals rule.
I know the derivative is greater than $0$ for all $x$ in $(0, \pi/2)$, but how to show $\tan(x)-x $ is greater than $0$ as $x$ approaches $0$?
Note: we have not yet learned l'hospitals rule.