A New Formula for the Natural Logarithm of a Natural Number
Shahar Nevo
TL;DR
This paper introduces a new series formula for calculating the natural logarithm of any natural number, extending the known series for ln 2 to a broader class of numbers.
Contribution
It generalizes existing series for ln 2 to a new formula applicable to all natural numbers, providing a novel approach to logarithm computation.
Findings
Derived a series formula for ln T applicable to all natural numbers
Extended the known series for ln 2 to a general case
Provides a new method for calculating natural logarithms
Abstract
For every natural number we write as a series, generalizing the known series for
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Taxonomy
TopicsAdvanced Mathematical Identities · Computability, Logic, AI Algorithms · Advanced Mathematical Theories