Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Possible Duplicate:
Crafty solutions to the following limit

A problem in a trivium was:

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

share|improve this question

marked as duplicate by Arturo Magidin, Ryan Budney, Gerry Myerson, Sasha, Alex Becker Feb 19 '12 at 6:45

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

    
If I am not mistaken this is a problem from Arnold. A google search or something can give a quick answer on this. The result is -1. –  Kerry Feb 19 '12 at 3:58
    
@ChangweiZhou : Who is Arnold? –  Arjang Feb 19 '12 at 4:02
    
@V.I.Arnold. Also apologize for confusing the sign. –  Kerry Feb 19 '12 at 4:07
    
I knew I'd seen this before here: duplicate. –  Arturo Magidin Feb 19 '12 at 5:16

1 Answer 1

up vote 3 down vote accepted

Check this article:

http://mathoverflow.net/questions/20696/a-question-regarding-a-claim-of-v-i-arnold

share|improve this answer
    
Especially Robert Israel’s answer, which makes the right intuition crystal clear. –  Brian M. Scott Feb 19 '12 at 4:13
    
That's called a classic trick question-it tricks you into overthinking the problem. This is why recognizing patterns is so important in practical problem solving! –  Mathemagician1234 Feb 19 '12 at 7:06

Not the answer you're looking for? Browse other questions tagged or ask your own question.