Solving Trig Limit Question: Step-by-Step Guide

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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.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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