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Letbe a metric space and{xn},{yn}be two Cauchy sequences in. Prove the following statements The sequence |xn-yn| { | x n y n | } {|xnyn|}

Letbe a metric space and{xn},{yn}be two Cauchy sequences in. Prove the following statements

The sequence |xn-yn|{|xnyn|}{|xnyn|}in(R,||)(,||)(R, |.|) is convergent.

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