Basic Property of Periodic Functions
If T is a period of the function f(x), then kT ( k ∈ Z and k eq 0 ) is also a period of f(x). Note: This property indicates that a periodic function has infini…
Syllabus path: Functions › Concepts and Properties of Functions › Periodicity of Functions
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CSCA Mathematics Formula Reference
Formula and explanation
If T is a period of the function f(x), then kT ( k ∈ Z and k eq 0 ) is also a period of f(x). Note: This property indicates that a periodic function has infinitely many periods. Usually, we are concerned with the smallest positive period.
Related tutorial and examples
Periodicity of Functions
Periodicity of Functions 1. Concept Periodicity describes the repeating pattern of a function. Definition: Let the domain of f(x) be D. If there exists a non - zero constant T such that for any x ∈ D: 1. x + T ∈ D 2. f(x + T) = f(x) holds true Then f(x) is a Periodic Function, an…
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