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Proofs of some Inequalities and Limits

Published online by Cambridge University Press:  31 October 2008

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In his article in No. 20, Professor Gibson gives proofs of the inequalities with certain restrictions as to the values of n and a. The mode of proof, avoiding as it does the use of the Binomial Theorem, is comparatively short and simple. The following mode of proof is, I think, still simpler, as it does not involve the use of Mathematical Induction.

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Research Article
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Copyright © Edinburgh Mathematical Society 1916