For a metric space (X,d), prove that a Cauchy sequence {x(adsbygoogle = window.adsbygoogle || []).push({}); _{n}} has the property d(x_{n}-x_{n+1})--->0 as n--->\infty

In working this proof, is it really as simple as letting m=n+1?

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# Cauchy Sequence in Metric Space

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