Question

Find the limit as x approaches c of the average rate of change of the function from c to x.

Answer 1

Step 1 :

The function is .

The average rate of change of  from 0 to x is

The average rate of change is

The limit of the average rate of change is

Substitute the limit.

The limit as x  approaches 0 of the average rate of change is 0.

Solution :

The limit as x  approaches 0 of the average rate of change is 0.