Using l'hopitals rule, evaluate the following:

Lim x-->infinity
Inx/2(x)^1/2

Limx-->0 (1/x - 1/e^x -1)

I tried both multiple times and I'm still not getting an answer. For the first one I tried l'hopitals rule 3 times and I'm still getting infinity over infinity for an answer which isn't correct, and the second one is very confusing, please help!