Help with a limit equation involving tangent

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Homework Statement



How do I solve this equation?

lim x>0 (x^3 - 2x^2 + x)/tanx

I don't know what to do here, please help. Thank you
 
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divide numerator and denominator by x..
 
Cacophony said:

Homework Statement



How do I solve this equation?

lim x>0 (x^3 - 2x^2 + x)/tanx

I don't know what to do here, please help. Thank you

Are you familiar with L'Hôpital's rule?
 

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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