Chapter 10.2, Problem 20E

Let f(x) = cos 2.x – (x– 2)² a) Find the 3rd Taylor polynomial about xo= 0.5 b) Using this polynomial calculate f( 1.5 ). c) Find the error bound for the truncation error and the interval for the actual function value.

find the error estimate for Taylor polynomial cos(10(x-1)), x0 = 1, n =2 x=2.

21. Find the Taylor polynomial of degree 4 for f(x) = cos x about a = T-3 π