Determine the third and fourth taylor polynomials

Question

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