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Browse Classroom Capsules and Notes

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Displaying 61 - 67 of 67

The author uses the Stolz-Cesàro theorem to compute the sums of the integer powers.

The authors show that a certain sequence unexpectedly converges to 8.

The limit of the ratio of the geometric mean to the arithmetic mean of certain sequences is studied, using Riemann sums.

Two proofs, one elementary, of the limit in the title are presented.

Mengoli`s Series is presented visually .

The result in the title is demonstrated graphically.

In this note an elementary proof of Stirling's asymptotic formula for \(n!\) is given.

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