Question

Find the Taylor polynomial T3(x) for the function f centered at the number a.

Answer 1

f(x)=1/x
a=4

Answer 2

whats the process?

Answer 3

i thought the answer was 1/4-(x-4)/16+2/64(x-4)^2-2/64(x-4)^3 but that was wrong

Answer 4

nevermind i figured it out

Answer 5

f = x^(-1)
f' = -x^(-2)
f'' = 2x^(-3)

4^(-1) -4^(-2)(x-4) +2(4)^(-3)(x-4)^2

T3 is 3 terms or degree 3?