Help needed with math, please and thank you

Question

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

Options:

1)	2x
2)	ln(x)
3)	sin(x)
4)	x20

Answer 1

Option 1 is the answer. sin(x) is bounded between -1 and 1, so it ranks at the bottom. Exponentials grow faster than any polynomial, and x = e^{ln x} so x²⁰ clearly grows faster than ln(x).