Compare the rates of growth of f(x) = e^(cosx) and g(x) = e^x as x approaches infinity. (4 points)

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