Compare the rates of growth of f(x) = the square root of x and g(x) = Ln(x) as x approaches infinity.

Question

Compare the rates of growth of f(x) =  and g(x) = Ln(x) as x approaches infinity.

A	f(x) grows faster than g(x) as x goes to infinity.
B	g(x) grows faster than f(x) as x goes to infinity.
C	f(x) and g(x) grow at the same rate as x goes to infinity.
D	The rate of growth cannot be determined.

Answer 1

This is where you need l'Hospital's rule to show that lim sqrt(x)/ln(x) as x goes to ∞ is unbounded.