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

5^x

5x

x^5

They all grow at the same rate.

**Answer:**

The functions grow from slowest to fastest

linear, polynomial, exponential

a table will show this easily

1 2 3 4

5x 5 10 15 20

x^5 1 32 243 1024

5^x 5 25 125 625

After 5, the exponential starts growing much more rapidly than the polynomial

So much for the spacing -_-