Question

Find the degree 4 Taylor polynomial , T(sub4)(x) for the function f(x) = x^(3/2) centered at a =4

Answer 1

\[Find the degree 4 taylor polynomial, T_{4} for the function f(x) = x^{3/2} centered at a=4\]

Answer 2

just gotta grind it till you find it
\[a_0=f(4)=8\]\[a_1=f'(4)\] etc

Answer 3

ok so
a_1=3
a_2=3/8
a_3=8
a_4=9/512

Answer 4

now what

Answer 5

well i solved it , but now i have to approximated the value of (3.9)^(3/2)

Answer 6

how would i do that in a calculator