Question

Evaluate the following limit -
(a^x)-1/(b^x)-1 ​

Answer 1

(x^(a-1)+x^(a-2)+***x+1))/((x-1) (x^b-1)+x®(b-2)+***x+1))

=lim_(xrarr1) (x^(a-1)+x^(a-2)+***x+1)/(x^(b-1)+x^(b-2)+*** x+1)

=a/b