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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.

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Articles
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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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