WRITE CODE IN PYTHON PLEASE.

Problem 1. (20\%) Write a program and use it to compute the Harmonic sum, k=1Nk1, using single precision (i.e., float), for N=10n, with n=1,2,3,,8, (or higher). Repeat the computations, but use the double precision. Plot the partial sums on the graph in terms of N values. Mathematically, i.e., when using exact arithmetic, this sum is known to diverge as N tends to infinity, i.e., the sum can be made arbitrarily large by taking N sufficiently large. Explain the observed behavior of the numerically computed sums. You can use the calculus books, e.g. Stewart Calculus, Cengage 2015 or internet to determine the asymptotic behaviour of the harmonic series and to help you to interpret the results of computations (always cite your sources in the assignment report)