An infinite series for the natural logarithm that converges throughout its domain and makes concavity transparent

Details An infinite series for the natural logarithm that converges throughout its domain and makes concavity transparent An infinite series for the natural logarithm that converges throughout its domain and makes concavity transparent

2012-04-17

arxiv.org/abs/1204.3937v1

Mathematics

Classical Analysis and ODEs

2 pages, AMSLaTeX

Scientific paper

The natural logarithm can be represented by an infinite series that converges
for all positive real values of the variable, and which makes concavity
patently obvious. Concavity of the natural logarithm is known to imply, among
other things, the fundamental inequality between the arithmetic and geometric
mean.

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