*e constant* or *Euler's number* is a mathematical constant. The e constant is real and irrational number.

*e* = 2.718281828459...

The e constant is defined as the limit:

The e constant is defined as the limit:

The e constant is defined as the infinite series:

The reciprocal of e is the limit:

The derivative of the exponential function is the exponential function:

(*e ^{ x}*)' =

The derivative of the natural logarithm function is the reciprocal function:

(log* _{e }x*)

The indefinite integral of the exponential function e^{x} is the exponential function e^{x}.

∫* e ^{x }dx* =

The indefinite integral of the natural logarithm function log* _{e }x* is:

∫ log* _{e }x dx* = ∫ ln

The definite integral from 1 to e of the reciprocal function 1/x is 1:

The natural logarithm of a number x is defined as the base e logarithm of x:

ln *x* = log_{e }x

The exponential function is defined as:

*f *(*x*) = exp(*x*) = *e ^{x}*

The complex number *e ^{ iθ}* has the identity:

*e ^{iθ}* = cos(

i is the imaginary unit (the square root of -1).

θ is any real number.

- How e is 2.71828183 ?
- Logarithm rules
- Natural logarithm
- Exponents rules
- Normal distribution
- Pi constant
- e constant - wikipedia

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- e constant
- Exponents
- Fibonacci numbers
- Multiplication table
- Numeral systems
- Parts-per million (ppm)
- Per-mille (‰)
- Percentage (%)
- Prime number
- Zero number