# calculate the limit $\lim\limits_{x \to0} \frac{\sin(\tan x)-\tan(\sin x)}{\arcsin(\arctan x)-\arctan(\arcsin x)}$ [duplicate]

Possible Duplicate:
Crafty solutions to the following limit

A problem in a trivium was:

$$\lim\limits_{x \to 0} \frac{\sin(\tan x)-\tan(\sin x)}{\arcsin(\arctan x)-\arctan(\arcsin x)}$$

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