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The Limits of and when n tends to infinity

Published online by Cambridge University Press:  31 October 2008

G. A. Gibson
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These limits may be proved very simply by applying the following theorem in inequalities:—

If n is a positive integer and r a a positive proper fraction for the values 1, 2, 3, … n of r, then

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 20 , April 1916 , pp. 233 - 235
Copyright
Copyright © Edinburgh Mathematical Society 1916