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Rational Analogues of the Logarithm Function
Published online by Cambridge University Press: 03 November 2016
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In this paper, we consider a sequence lr(x) (r = 1, 2, ..) of rational functions of a positive rational variable x, which approach log x as r→∞. Some properties of these functions are analogous to properties of the natural logarithm, and go over into the latter, when the limit r→∞ is taken. Except for pointing out such limiting results, we shall avoid transcendental methods.
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- Copyright © Mathematical Association 1956
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