What does limit as x goes to infinity of the quotient of f of x and g of x equals 5 show?

Question

What does  show?

A	g(x) grows faster than f(x) as x goes to infinity.
B	f(x) and g(x) grow at the same rate as x goes to infinity.
C	f(x) grows faster than g(x) as x goes to infinity.
D	L'Hôpital's Rule must be used to determine the true limit value.

Answer 1

The limit has nothing to do with rate!

l'Hospital's rule does not apply.

And the answer is: B

Roughly what the limit means is the for every value of x as x increases f(x) = 5*g(x)