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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.6 Limits, #38 · Calculus · Limits

If … prove that there is a number … with this property…

If $a_{n} \to L$ prove that there is a number $N$ with this property: If $n > N$ and $m > N$ then $∣ a_{n} - a_{m} ∣ < 2 ε$ . This is Cauchy's test for convergence.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.6 Limits, #38

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