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An Elementary Derivation of the Exponential Limit and of Euler's Constant

Published online by Cambridge University Press:  31 October 2008

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By defining a logarithm as

we may visualise the function as the area under the curve

, measured to the right from the zero value at the ordinate AB. The fundamental properties follow at once from (1): for if u = av, then

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1935