Difference between revisions of "E"
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:<math>\frac{d}{dx}e^x = e^x.</math> | :<math>\frac{d}{dx}e^x = e^x.</math> | ||
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| + | ==Formulae for ''e''== | ||
| + | *With limits - <math>e=\lim_{x\to\infty}\left(1+\frac{1}{x}\right)^x</math><br /><br /> | ||
| + | *With infinite series - <math>e=\sum_{n=0}^{\infty}\frac{1}{n!}</math> | ||
[[category:mathematics]] | [[category:mathematics]] | ||
Revision as of 20:57, November 29, 2007
e is a useful mathematical constant which is a transcendental number approximately equal to 2.718281828459045 . e can be used in logarithms as the base, called a natural logarithm. e is named for Swiss mathematician Leonhard Euler, though he did not discover the constant.
It has some remarkable properties, such as:
- <math>\frac{d}{dx}e^x = e^x.</math>
Formulae for e
- With limits - <math>e=\lim_{x\to\infty}\left(1+\frac{1}{x}\right)^x</math>
- With infinite series - <math>e=\sum_{n=0}^{\infty}\frac{1}{n!}</math>