Suppose that (xn) is a convergent sequence and (Yn) is such that for any 8 > 0 there

Chapter 3, Problem 22

(choose chapter or problem)

Suppose that (xn) is a convergent sequence and (Yn) is such that for any 8 > 0 there exists M such that IXn- Ynl < 8 for all n ~ M. Does it follow that (Yn) is convergent? 2

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