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I already used monotone Convergence Thm to prove k=1 case. Do I just need to go through the same process to show k? If not, could you please help?

2) Suppose that ( x_n ) is a sequence of real numbers, ( y_n ) is a bounded sequence of non-zero real numbers, and that lim x_n/ y_n = 1. Prove that lim x_n - y_n = 0.

Since y_n is bounded, there exist M such that |y_n| <= M for all n in N. Then what should I do?

Thanks