How to prove that $\lim\limits_{x\to0}\frac{\tan x}x=1$? How to prove that 
$$\lim\limits_{x\to0}\frac{\tan x}x=1?$$
I'm looking for a method besides L'Hospital's rule.

$$\lim_{x\rightarrow 0} \frac{\tan (x)}{x} = \frac{d}{dx}\tan(0)=\sec^2(0)=1$$
This, I find, is the simplest method of showing it...
