Periodicity of a function for JEE

Formula

\[f(x+T)=f(x)\quad \forall x\text{ in domain, with }T>0\]

Variables: \(T\) is a period; least positive period, if it exists, is fundamental period.

Conditions: Must hold for all admissible \(x\).

Trigonometric functions, graph sketching, limits and derivatives of periodic functions.