5. (a) Let {xn} and {Yn} be sequences in X that converge to the same point. Prove...

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5.

(a) Let {xn} and {Yn} be sequences in X that converge to the same point. Prove that p(xn, Yn) ---t 0 as n ---t 00.

(b) Show that the converse of part

(a) is false.

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