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Mathematica > Mathematics and Algorithms > Mathematical Functions > Mathematical Constants >

Built-in Mathematica Symbol

E ()

E
is the exponential constant e (base of natural logarithms), with numerical value

2.71828.

E can be entered in StandardForm and InputForm as , Esc ee Esc or \[ExponentialE].

E can be entered as Esc ee Esc (for "exponential e"):

Evaluate to any precision:

Do an exact numerical computation:

E can be entered as Esc ee Esc (for "exponential e"):

Evaluate to any precision:

Do an exact numerical computation:

The first 20 digits of

in base 10:

has a very regular continued fraction:

Evaluate symbolic relations involving

Mathematical functions and operations often give results involving

Solve the Steiner problem:

Exp[z] is automatically converted to

^z:

is not an algebraic number:

Use TrigToExp to obtain E from hyperbolic and trigonometric functions:

Find twenty base-10 digits after the millionth one:

arises in many limiting results:

Weyl-type sum involving E: