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\(\pi\) and the Limit of \((\sin\alpha)/\alpha\)

by Leonard Gilman (University of Texas)

This article originally appeared in:
American Mathematical Monthly
April, 1991

Subject classification(s): Calculus | Single Variable Calculus | Geometry and Topology | Plane Geometry | Circles | Trigonometry

A discussion at the precalculus/calculus level of the definition of \(\pi\) and a proof of the relation between the diameter and circumference of a circle.

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