I'm practicing for an exam coming up and i realized that i have a very small grasp on how to do these types of questions. if you can help, it would be greatly appreciated.
lim
x->infinity
(x/(x+1))^x
lim
x->1
x^(3/(x^3-1))
lim
x->0
(sin^2(3x)+1)^(cot(8x^2))
thanks for all help in advance.