13) Euler's Constant: we will be able to show that Prove that {an} converges. Note: y = lim an is called Euler's constant. It is not known whether Euler's constant is rational or irrational. If you had to guess, which would you choose? (You don't need to n +1 0. f) Based on the estimate in e) explain why the Harmonic series _ : diverges to infinity. for every n E N and hence that {an } is a decreasing sequence. (Note: You do not have to use induction here.) b) Show either directly or by induction that (In(k + 1) - In(k)) = In(n + 1). k = 1 c) Use part (b) to show that 0