Please answer it in Python code

6. Write a program to approximate the sum of the following alternating series: k=0(1)kk4+k3+k+2k2+1 so that the error in the sum is smaller than a given tolerance. Your program should request the user to enter a positive error tolerance, and then repeatedly add terms in sequence until the error between the sum of the series and the partial sum is guaranteed to be strictly less than the tolerance (assuming the arithmetic were exact). Use the error bound from the alternating series test (described below) to determine when to stop adding terms. Report the partial sum of the series and the number of terms included in the sum to the user. Note that you do not need to know (and should not compute) the actual sum of the series! One form of the error bound in the alternating series test is as follows: Let ak be a sequence of non-negative values satisfying ak+1ak for all k0, with limkak=0. Then the series S=k=0(1)kak converges, and furthermore, with Sn=k=0n(1)kak, we have that SSnan+1 (i.e. the error in approximating the series by the partial sum up to and including the term of index n is less than or equal to the magnitude of the first omitted term)