P4x Find the Taylor polynomial of degree n4 for x near the p

P4(x)=

Find the Taylor polynomial of degree n=4 for x near the point a=6 for the function sin3x. P4(x)=

Solution

= sin18 + 3(x-6)cos(18) - 9(x-6)^2sin(18)/2 - 27(x-6)^3cos(18)/6 + 81(x-6)^4sin(18)/24

= 0 + 3(x-6) - (9/2)(x-6)^3