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ANphysics
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Lets say that we have two Cauchy sequences {fi} and {gi} such that the sequence {fi} converges to a limit F and the sequence {gi} converges to a limit G. Then it can easily be shown that the sequence defined by
{ d(fi, gi) } is also Cauchy.
But is it true that this sequence, { d(fi, gi) }, converges to the limit d(F,G) ?
{ d(fi, gi) } is also Cauchy.
But is it true that this sequence, { d(fi, gi) }, converges to the limit d(F,G) ?
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