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An asymptotic formula for powers of binomial coefficients

Published online by Cambridge University Press:  01 August 2016

Jeff D. Farmer  and
Steven C. Leth
Jeff D. Farmer
Affiliation:
University of Northern Colorado, Greeley, Colorado 80639 USA
Steven C. Leth
Affiliation:
University of Northern Colorado, Greeley, Colorado 80639 USA
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Extract

The importance of teaching our students at all levels how to use computers as a problem-solving tool is well-recognised. Using numerical approximations to discover unknown formulas can be a powerful example. It is usually pointed out to the students that computer exploration alone is not sufficient and should be followed up whenever possible with a proof or at least some additional analysis. The importance of this is illustrated in the example below, in which there is compelling numerical evidence for an incorrect conclusion.

Type
Articles
Information
The Mathematical Gazette , Volume 89 , Issue 516 , November 2005 , pp. 385 - 391
Copyright
Copyright © The Mathematical Association 2004

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References

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