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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.6 Properties of the Integral and Average Value, #24 · Calculus · Integrals

If the positive numbers … approach zero as … prove that their…

If the positive numbers $v_{n}$ approach zero as $n \to \infty$ prove that their average $(v_{1} + \dots + v_{n}) / n$ also approaches zero.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.6 Properties of the Integral and Average Value, #24

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