Tiny Periodicness

Algebra Level 3

True or False?

Every function (\(f: \mathbb{R} \rightarrow \mathbb{R}\)) which has a period has a smallest period.

A period of \(f: \mathbb{R} \rightarrow \mathbb{R}\) is a number \(T > 0\) such that \(f(x)=f(x+T) \space \forall x \in \mathbb{R}\).

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