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 -_-