Possible Duplicate:
Crafty solutions to the following limit
A problem in a trivium was:
$\lim\limits_{x \to 0} \frac{\sin(\tan x)-\tan(\sin x)}{\arcsin(\arctan x)-\arctan(\arcsin x)}$
Possible Duplicate:
Crafty solutions to the following limit
A problem in a trivium was:
$\lim\limits_{x \to 0} \frac{\sin(\tan x)-\tan(\sin x)}{\arcsin(\arctan x)-\arctan(\arcsin x)}$
Check this article:
https://mathoverflow.net/questions/20696/a-question-regarding-a-claim-of-v-i-arnold