e (mathematical constant)

The effect of earning 20% annual interest on an initial $1,000 investment at various compounding frequencies

Graphs of probability P of not observing independent events each of probability 1/n after n Bernoulli trials, and 1 - P vs n ; it can be observed that as n increases, the probability of a 1/n-chance event never appearing after n tries rapidly converges to 1/e.

The number $e$ is an important mathematical constant that is the base of the natural logarithm. It is approximately equal to 2.71828, and is the limit of $(1 + 1/ n)$ as $n$ approaches infinity, an expression that arises in the study of compound interest. It can also be calculated as the sum of the infinite series

单词	Exponential constant
释义	Exponential constant 英语百科 e (mathematical constant) The number $e$ is an important mathematical constant that is the base of the natural logarithm. It is approximately equal to 2.71828, and is the limit of $(1 + 1/ n)$ as $n$ approaches infinity, an expression that arises in the study of compound interest. It can also be calculated as the sum of the infinite series
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Exponential constant

e (mathematical constant)