find this limit HELP: lim,x->1,x^m-1/x^n-1, m,n elements of N

spartas

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limxm-1/xn-1 m,n elements of N
x→1
the answer is m/n but i have no idea how to start or solve this!
 

lim(xm-1)/(xn-1) m,n elements of N
..... Those parentheses are important
x→1
the answer is m/n but i have no idea how to start or solve this!

Have you covered L'Hospital's Rule in class?
 
limxm-1/xn-1 m,n elements of N
x→1
the answer is m/n but i have no idea how to start or solve this!

As Subhotosh Khan indicated, L'Hospital's Rule would make quick work of this problem. However, just in case you haven't covered it, remember from your algebra days that
\(\displaystyle \underset{j=0}{\overset{j=n-1}{\Sigma}}\, x^j\, =\, \frac{x^n\, -\, 1}{x\, -\, 1}\)
 
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