Help needed with math, please and thank you

Question

Which of the following functions grows the slowest as x goes to infinity?

Options:

1)	5x
2)	5x
3)	x5
4)	They all grow at the same rate.

Answer 1

Faster grow is 5^x, then x ⁵ and then 5x, because lim as x →∞ of 5^x/x⁵ = ∞ (five times L'opital Rule) and lim when x →∞ of x⁵/5x = lim as x →∞ of x⁴/5 = ∞.

Answer: grow slow when x go to ∞ function 5x, then x⁵, then 5^x