I'm having some difficulty with these two limits. I learned this stuff a while back, but as you know, you sometimes forget the simple stuff after you havent done it in a while. :(

1:

limit as x goes to infinity of [(x+1)(x+1)^x]/(x^x)

*note, only the second x+1 is raised to the power of x in the numerator

2:

limit as x goes to infinity of [x/(x+1)]^x

Thanks!