Thread: Limit of functions involving e and ln

lim ((x-1)/(x+1))^x as x tends to infinity?

lim (lnx)ln(1-x) as x tends to 1 from the right?

I am stuck on both of these, any ideas?

http://www.wolframalpha.com/input/?i=limit+as+x+goes+to+infinity+of+%28%28%28x-1%29%2F%28x%2B1%29%29^x%29

Click Show Steps

thanks,
how do i know when i can introduce t and change what x tends to?
also i have a another problem lim ((sinx/x))^(x^-2)) as x tends to zero
and i still need some help on the other one i posted earlier?