Hi, I have two questions requiring L'Hopital's Rule that I can't seem to get. They are

And

For the first one I didn't even think the rule was necessary. I thought I could just plug in infinity and get (1+0)^INF. But this was obviously wrong. For the second I thought I should try to get it into a quotient problem, but I kept getting 0 in the denominator. I'd really appreciate help. Thanks!