6. (a) Suppose that {xn} and {Yn} converge to the same point. Prove that Xn - Yn...

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6.

(a) Suppose that {xn} and {Yn} converge to the same point. Prove that Xn -

Yn -+ ° as n -+ 00.

(b) Prove that the sequence {n} does not converge.

(c) Show that the converse of part

(a) is false.

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