In this question you may not use the fact that Cauchy sequences are equivalent to conver gent sequences Let an neN CR be a

Question

In this question you may not use the fact that Cauchy sequences are equivalent to conver gent sequences Let an neN CR be a Cauchy sequence such that there exists a convergent subsequence to some limit a E R Show that the original sequence converges to a R You should be able to prove this just from first principles

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