Solving Trig Limit Question: Step-by-Step Guide

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Mejiera
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Homework Statement



lim x appraoches 0 sin(x)/(x+tan(x))

Homework Equations



I have tryed everthing. Can someone show me how to do this.

The Attempt at a Solution

 
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Have you tried L'Hopital's rule?
 
Use L'Hopital's rule as Char suggested. The answer should come out to 1/2. If you have trouble applying the rule, let me know and i'll help you out.
 
Another way to see this: squeeze theorem with sin(x)/2tan(x) and sin(x)/2x.