As x->0, sin(x) ->0 and ln(x) -> infinity, so you have a form 0 * infinity.
To use L'Hopital's Rule, you need a form 0/0. Change it from sin(x) ln(x) to sin(x) / [1/ln(x)]
Now it's in the right form. You want to replace sin(x) by the derivative of sin(x), and 1/ln(x) by the derivative of 1/ln(x).
To use L'Hopital's Rule, you need a form 0/0. Change it from sin(x) ln(x) to sin(x) / [1/ln(x)]
Now it's in the right form. You want to replace sin(x) by the derivative of sin(x), and 1/ln(x) by the derivative of 1/ln(x).