Period of Sum/Difference of Periodic Functions
If f(x) has period T₁ and g(x) has period T₂, then the period of f(x) ± g(x) is the least common multiple (LCM) of T₁ and T₂, provided the intersection of the…
Syllabus path: Functions › Concepts and Properties of Functions › Periodicity of Functions
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CSCA Mathematics Formula Reference
Formula and explanation
If f(x) has period T₁ and g(x) has period T₂, then the period of f(x) ± g(x) is the least common multiple (LCM) of T₁ and T₂, provided the intersection of the domains of f and g is non - empty and the operation is meaningful. Explanation: The period of the sum or difference of two periodic functions is typically the LCM of their individual periods.
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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