Chapter 10.2, Problem 1E

please give a detailed explanation

What is the nth Taylor polynomial of a function f(x) at x=c?

Fill in the coefficients of the degree 3 Taylor polynomial for f(x) = sin x centered at x = 3 T3(x) = [ Select ] %D [ Select ] - (x – ) + [ Select ] (x - 5)² 3 [ Select ] - (x - 5)* IT 3