3) Write python functions to carry out the following summations; both functions can be in the same module (.py file). In each case you should first prepare a flow chart, then write out the code by hand, and finally code it in Python. a) compute the following sum: N 1 s(n)=EXPIRE 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)==1 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 k'th term, e.g. E= , where $(x) is the sum of the first k terms. The tolerance test should ensure that Ek 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