14 March 2017

e


The Scottish mathematician John Napier in \(1618\) made reference to that number in a table of logarithms which he published as an attachment to one of his works. However, \(e\) is best known for Euler number, a tribute to the Swiss mathematician Leonhard Euler.

The discovery of this number is attributed to Swiss mathematician Jacob Bernoulli, who tried to find the value of the following expression (which is the Euler number): \(e=\lim\limits_{n\to \infty} \left( 1+\frac{1}{n} \right)^n\).

Other results that include \(e\):

\(e=\frac{1}{0!}+\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+\frac{1}{5!}+\cdots\);

\(\frac{d}{dx}e^x=e^x\);

\(e^{i\pi}+1=0\) (Euler's identity).

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