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How is E defined in mathematics?
E is an irrational number in mathematics and a symbol representing a number in mathematics, but it is not limited to the field of mathematics. In nature, structure, shape, interest rate or hyperbolic area, calculus textbooks, Bernoulli family, etc. Now e has been calculated to two thousand decimal places.

E is the base of natural logarithm, an infinite acyclic decimal with a value of 2.7 1828 ... which is defined as follows:

The limit of n →∞ (1+1/n) n.

Note: x y stands for the y power of x.

As a mathematical constant, e is the basis of natural logarithmic function. Sometimes called Euler number, named after the Swiss mathematician Euler; There is also a relatively rare name Napier constant to commemorate the introduction of logarithm by Scottish mathematician John Napier. It is one of the most important constants in mathematics, just like pi and imaginary units I and E.

Limit expression of e:

e = lim & ltx-& gt; 0 & gt( 1+ 1/x)^x

= lim & ltn->; +∞& gt; { 1,2,3,4,…,n}

= lim & ltx-& gt; +∞& gt; ∑(0,x) 1/i!

Note: {1, 2, 3, 4, …, n} =1+1+1[2+(1/3+{/kloc]

References:

Baidu encyclopedia-irrational number e