Question

what is cauchy's criterion?with proof.​

Answer 1

Step-by-step explanation:

Theorem (Cauchy Convergence Criterion): If is a sequence of real numbers, then is convergent if and only if is a Cauchy sequence. Note that the Cauchy Convergence Criterion will allow us to determine whether a sequence of real numbers is convergent whether or not we have a suspected limit in mind for a sequence.