\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find a \(C^2\) function \(f : \mathbb{R} \to \mathbb{R}\) such that \(f''\) has infinitely many zeros, yet \(f\) has no inflection point. Hint: consider a constant function.
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