Lets say that we have two Cauchy sequences {(adsbygoogle = window.adsbygoogle || []).push({}); f} and {_{i}g} such that the sequence {_{i}f} converges to a limit F and the sequence {_{i}g} converges to a limit G. Then it can easily be shown that the sequence defined by_{i}

{ d(f,_{i}g) } is also Cauchy._{i}

But is it true that this sequence, { d(f,_{i}g) }, converges to the limit d(F,G) ?_{i}

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# The difference between the limits of two Cauchy Sequences

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