Exponential Function

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Definition

Exponential Function

An exponential function is a function where the function’s parameters are exponents.

Examples:

• with

Properties

Bijectivity

The exponential function is bijective from to .

Continuity

Continuity of Exponential Functions

Exponential functions of form

with being the Euler’s number and are continuous.

Periodicity

Euler’s Formula

Definition

Euler's Formula

Euler’s formula, named after Leonhard Euler, establishes a relationship between trigonometric functions and the complex exponentiation function.

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