Hi, i'm trying to help my sibling with these math problems, but i'm having some trouble:

1. lim x-> -infinity (x^2)^(e^x)

2. and lim x -> 0 (1/x-1/ln(x+1))

For one 1. I use the natural log to make e^x * ln(x^2) and i've tried put both over eachother but it goes nowhere. e^x will continue to be zero. I've used the rule repeatedly and cannot find an answer. I don't see part of the derivative of ln(x^2) or 1/ln(x^2) helping yet either.

For two i've put both over a common denominator but still am having trouble getting an answer

thanks