Find limit of sin(x).sin^-1(x)/x^2 as x approaches 0
Maybe L'Hopital's rule.
The Attempt at a Solution
First, i put in zero, and got the indeterminate form 0/0
So, i used L'Hopital's rule and got this:
[cosx.sin^-1(x) + sinx.-sin^-2(x).cosx]/2x
And again when putting zero, i get [1/0 + 0]/0 = infinity/0
So i tried to differentiate again, but it's become so big, i don't know what's what in my copybook. Help!