A convergent sequence is a Cauchy sequence, if it is aa)sequence of real numbersb)sequence of rational numbersc)sequence of irrational numbersd)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
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SOLVED: In Examples 1 WC proved that every convergent sequence in metric space (K,d) is also Cauchy sequence. Proof: Recall that seqpuence (rn)ueN cx is called Cauchy sequence if Ve > 0
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