Real Convergent Sequence is Cauchy Sequence/Proof 2
Jump to navigation
Jump to search
Theorem
Every convergent real sequence in $\R$ is a Cauchy sequence.
Proof
From Real Number Line is Complete Metric Space, $\R$ under the usual metric is a metric space.
The result then follows as a special case of Convergent Sequence is Cauchy Sequence.
$\blacksquare$