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On the Exponential Inequalities and the Exponential Function

Published online by Cambridge University Press:  03 November 2016

V. Ramaswami Aiyar
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Extract

Theorem. If a he any positive quantity not equal to 1, and x, y, z be any three rational quantities in descending order of magnitude, then

Type
Research Article
Information
The Mathematical Gazette , Volume 4 , Issue 61 , January 1907 , pp. 8 - 12
Copyright
Copyright © Mathematical Association 1907

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References

page 10 note * It may be observed that the extreme values of ax follow as follows: If x > 1, we have ax > 1 + x(a – 1). Consequently, if a > 1, L ax = ∞. Hence L ax =0, if a > 1; .