X VÀ Y LÀ KHÔNG GIAN METRIC ÁNH XẠ f:X->Y. f LIÊN TỤC KHI VÀ CHỈ KHI DÃY {Xn} hoi tụ về a thì dãy f(xn) hội tụ về f(a)

Explore the concept of continuity of functions in metric spaces. Understand how a function f:X->Y remains continuous when the sequence {Xn} converges to a point a in X, ensuring that the sequence f(xn) converges to f(a). This problem delves into advanced mathematical concepts suitable for advanced undergraduate studies.

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