Question

what is the cauchy sequance of real nmbr​

Answer 1

A sequence {xn} of real numbers is said to be Cauchy sequence if for every ε > 0 there exists N ∈ N such that if n,m>N ⇒ |xn − xm| < ε. A sequence is Cauchy if the terms eventually get arbitrarily close to each other. = ε. = ε.

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Answer 2

Answer:

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A sequence {xn} of real numbers is said to be Cauchy sequence if for every ε > 0 there exists N ∈ N such that if n,m>N ⇒ |xn − xm| < ε. A sequence is Cauchy if the terms eventually get arbitrarily close to each other. = ε. = ε.

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