Question

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

2x
ln(x)
sin(x)
x20

Answer 1

x^20

Explanation:

We can easily solve this question by using a graphing calculator and plotting each of the graphs.

We know that

* ln(x) grows the slowest for a given input of x

* sin(x) is a periodic function with values between [-1,1]

*Exponentials grow faster than the rest of the functions, so

x^20 grows the fastest as x goes to infinity

Please see image below for clarification.