Finding the limit of (arcsin x)/x as x approaches 0

[chrishatch]

Homework Statement

Solve lim_x->0 (sin^-1 x) / x

Homework Equations

given lim_x->0 (sin x) / x = 1

The Attempt at a Solution

 

[lineintegral1]

Your post is vague; I have no idea what level of calculus you are working on or what attempts you have made to find the solution. L'Hospital's rule certainly applies though (form 0/0).

 

[dextercioby]

You can do without L'Ho^pital's rule. Make a subsitution x=sin p. What do you get ?