In Python, please discuss the results

Calculate the Taylor polynomials centered at 0, T,(x)=(0) ), k=0 for f k! = cos(x) for the following 4 values of x, 1 2 3 4 which is equivalent to 10 10 10 10 X= > j for j = 1,2,3,4. 10 For each value ofj, find the smallest integer n such that T. j j 10 10 Calculate the "exact" value using np.cos(x). Present your results in a table and discuss them. How do your errors compare to the error bounds for Taylor polynomials that we discussed in class? Remember that the error for a Taylor polynomial is given by its remainder term ( R, (x) = f (x) T. (x)== "+ (n+1)! Calculate the Taylor polynomials centered at 0, T,(x)=(0) ), k=0 for f k! = cos(x) for the following 4 values of x, 1 2 3 4 which is equivalent to 10 10 10 10 X= > j for j = 1,2,3,4. 10 For each value ofj, find the smallest integer n such that T. j j 10 10 Calculate the "exact" value using np.cos(x). Present your results in a table and discuss them. How do your errors compare to the error bounds for Taylor polynomials that we discussed in class? Remember that the error for a Taylor polynomial is given by its remainder term ( R, (x) = f (x) T. (x)== "+ (n+1)