Can anyone help me solve this problem with python? Thanks

The n-th order Taylor-series approximation to cosine is given by Tn=k=0n(2k)!(1)kx2k because cos(x)=limnTn. In this problem you will calculate the third-order Taylor-series approximation, i.e., T3=k=03(2k)!(1)kx2k=12x2+4!x46!x6. (a) Create the array x with 100 equally spaced points in the interval [,]. Save that array to the variable A13. (b) Use a for loop to calculate the third-order Taylor-series approximation to cosine using the sum formula above. You should not be writing each term, instead use a for loop to calculate the sum! Save the result, an array with 100 elements, to the variable A14