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A Geometric Look at Sequences That Converge to Euler's Constant

by Duane DeTemple

This article originally appeared in:
College Mathematics Journal
March, 2006

Subject classification(s): Algebra and Number Theory | Algebra | Sequences and Series
Applicable Course(s): 3.2 Mainstream Calculus II | 3.5 Non-mainstream Calc II

This capsule investigates the sequences that converge to Euler's constant. By utilizing the geometric description of the terms, the author can obtain a rate of convergence comparable to \( \frac{1}{n^2} \).

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Capsule Course Topic(s):
Sequences and Series | Special Sequences
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