What does limit as x goes to infinity of the quotient of f of x and g of x equals 5 show? 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. f(x) grows faster than g(x) as x goes to infinity. L'Hôpital's Rule must be used to determine the true limit value.