9. We're going to illustrate the validity of the proof of the product formula for limits. Let a_n=14+6(sin(n)/n) and b_n=20/(1+e^(-.05n)). (a) What are the limits, a_nL and b_nM, of these sequences? (b) What is B so that |a_n| < B? (c) Find N_1 so that |a_n L| <.005/2(|M|+1) whenever n > N_1. Wolfram Alpha, Desmos, and calculator explanations are all allowed here. (d) Find N_2 so that |b_n M| < .005/2(B+1) . Again, Wolfram Alpha, Desmos, and calculator explanations are all allowed here. (e) What is a_nb_n and LM? Perform a few computations to convince yourself that if n > max N_1, N_2, |a_nb_n LM| < .005.