# Cesàro Sums of Some Unit Sequences

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Consider the series with terms , namely . The series does not converge because its sequence of partial sums, , does not have a limit as . However, this sequence has the limit , which is known as its Cesàro sum.

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Contributed by: George Beck (March 2011)

Open content licensed under CC BY-NC-SA

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"Cesàro Sums of Some Unit Sequences"

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Published: March 7 2011