5. Let (an) and (b) be Cauchy sequences. Prove the following: (i) The sequence (an bn) is a Cauchy sequence. (ii) If (cn) and (d) are any Cauchy sequences such that (an - Cn) and (bn - dn)=1 . both converge to 0, then the sequence (an bn - Cn dn)-1 converges to 0.

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