3. Suppose that a function f(x) is approximated near a = 0 by the 3rd degree Taylor polynomial T3(x) = 4 − 3x + x 2 5 + 4x 3 . Give the values of f(0), f0 (0), f00(0), and f 000(0).

Step-by-step explanation:

Remember that in general  the taylor series of a function     are given by

therefore

and then

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

df =

both have same length