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103. [D. 6. b.] Note on the Logarithmic Series
Published online by Cambridge University Press: 03 November 2016
Abstract
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- Mathematical Note
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- Copyright © Mathematical Association 1901
References
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The above proof of the logarithmic series holds only when x is real. We see however that when x is positive the sum of the series A — C, which consists of positive terms, tends to the limit zero as η increases. This will therefore also hold when x is complex, and thus in any case when | x | < 1, but which value is to be taken has to be decided by considerations of continuity.