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JEE MATHEMATICS MCQ: FUNCTIONS

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The function f(x)={1,      x∈Q0,      x∉Qf\left( x \right) = \left\{ {\begin{array}{cccccccccccccccccccc} {1,\;\;\;x \in Q}\\ {0,\;\;\;x \notin Q} \end{array}} \right. is
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Correct option: D
Periodic with indeterminate period
Option D (Periodic with indeterminate period) is correct because the function repeats for every rational number, but there's no smallest positive rational number.

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