L'Hospital's Rule True/False

Hi, can anyone tell me which of these are wrong?

1. The indeterminate form of type "0/0" can approach any real number as a limit -- False

2. There is a natural number n such that the power function f(x)=x^n is growing faster than the exponential function g(x)=e^x -- True

3. if lim x->infinity f(x) = +infinity, then for any k (all real numbers), lim x->+infinity k/f(x) = 0 -- False

4. The function f(x) = lnx grows more slowly than any positive power of x -- True

Thanks!