19: The default approach is changing product into a ratio, experience suggests that the exponential is a better candidate for moving.
So we replaced sine with x2. How about the second option?
It seems the first approach is more promising. Take it further. Perhaps you may want to think of a little trick that could be used here.
The second approach does not help if l'Hospital rule is applied to the whole expression. However, it can be saved if we split it smartly.