Write a Python3 script in spyder for parts a and b.

a) compute the following sum: S(N)= Use the function to calculate the sum from 10 terms, 20 terms and 100 terms. Do you see it is heading for a limiting value of approximately 1.202 when N is sufficiently large? b) Modify the function from part a) to approximate the more general sum: $(x)=2cm Your function should accept the power x >1 as an input argument. It should compare the k'th term with the sum to determine the relative error in ignoring the kith term, e.g. where Si(x) is the sum of the first k terms. The tolerance test should ensure that Ex is less than 10-15 before terminating the series. As an aside, the function $(x) is the Riemann zeta function and is important in number theory. SO