1. Determine the third Taylor polynomial of the given function at x = 0.
f(x) = 1 / (x+3).
2. Determine the third and fourth Taylor polynomials of x3 + 6x - 1 at x = -1.
3. You are given the following.
f(x) = 2 -7 (x -1) +(3/2!) (x -1)2 - (6/3!) (x -1)3 + (1/4!) (x -1)4
![f(x) = 2 - 7(x-1) + 3/(2!)(x-1)^2 - 6/(3!)(x-1)^3 + 1/(4!)(x-1)^4](https://cdn.transtutors.com/Transtutors004/Images/Transtutors004_b64ab346-2498-40b5-8270-c74c39aa578c)