- #1

DryRun

Gold Member

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## Homework Statement

Find limit of sin(x).sin^-1(x)/x^2 as x approaches 0

## Homework Equations

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!