Lim m/(1-x^m)-n/(1-x^n) , x-->1 without lopital? Answer according to m & n?

Answer 1

The limit does not exist (unless m=n, where which the limit is 0).

And, one cannot possibly evaluate the limit using L'Hôpital's rule as it can only help compute limits with indeterminate forms (i.e. 0/0 or ∞/∞, of which this limit is not).

Answer 2

If m>n then positive infinite
If n>m then positive infinite
If n=m then 0

Answer 3

try to drown it if you field use lop ital