Find the Taylor Polynomial P_n(x) for the function f with the given values of c and n. Then give a bound on the error that is incurred if P_n(x) is used to approximate f(x) on the given interval. f(x)=e^(3x) c=1, n=4, [1, 1.1]
I found P_4(x):
P_4(x)=(e^3) + 3(e^3)(x-1) + (9/2)(e^3)(x-1)^2 + (9/2)(e^3)(x-1)^3 + (27/8)(e^3)(x-1)^4
but the problem is also asking for the absolute value of R_4(x) less than or equal to...
How do I find R_4(x)? The answer they gave is .000549