Find the sequence {x} of the answer to an advanced number problem is bounded, LIM (n →∞) y = 0, prove LIM (n →∞) xy = 0

Find the sequence {x} of the answer to an advanced number problem is bounded, LIM (n →∞) y = 0, prove LIM (n →∞) xy = 0

Because xn is bounded, so │ xn │ ≤ M. where m is a positive number. And because limyn = 0 (n tends to infinity), there exists a positive number n for any positive number ε. When x > N, │ yn │