**Construction of the Real Numbers Via Cauchy Sequences**

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Sarah Aljohani

Sarah Aljohani

This writing shows that construction of the real numbers via Cauchy Sequence is a mathematical concept with precise logic. The Cauchy Sequence is a concept founded by Augustine â€“ Louis Cauchy where the sequential construction of real number is analyzed and given a theoretic frame work. The Cauchy Sequence as a function exhibit the convergence of real number as it progresses.