Question

Using L'Hopital's Rule, find the limit:

lim x->0+ (as x approaches 0 from the right) of sinx/x^(1/3)

Answer 1

limit (sinx/x^1/3)) as x --> 0

= lim (cosx/((1/3)x^(-2/3))
= lim ((cosx)(3x^(2/3))
= (cos0)(0) = 0