Numerically, investigate the behavior of the Newton quotient of the function

near **x = 3**

Using Microcalc:

- Choose
*Beginning Calculus*from the initial menu and press . - Use the arrow keys to move to the menu item
*Difference Quot's*, press and . - At the prompt
*F(x) =*, enter the formulax^2+4x-3 - At the prompt
*a =*, type 3 . - At the prompt
*h =*, type 1 . - At
*Tabulate*, press and on the screen you will see values for the Newton quotients - (*) Press , at
*h <<-- 1/2 h*, press and, at*Tabulate*, press again. If you keep repeating from (*) then you will see the following table: