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Teaching Tip: The Limit of \(\frac{\sin t}{t}\)

by Claudi Alsina (U Politècnica de Catalunya, Spain) and Roger B. Nelsen (Lewis & Clark College)

This article originally appeared in:
College Mathematics Journal
May, 2010

Subject classification(s): Calculus | Single Variable Calculus | Limits
Applicable Course(s): 3.1 Mainstream Calculus I | 3.4 Non-mainstream Calc I

The authors provide a geometric proof for the limit , \(\frac{\sin t}{t}\), simpler than the geometric proof found in most calculus textbooks.

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Capsule Course Topic(s):
One-Variable Calculus | Infinite Limits: Function Values and Integrals
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