Let \( S=\left\{t \in R: f(x)=|x-\pi| \cdot\left(e^{|x|}-1\right) \sin |x|\right. \) is not diff...

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Let \( S=\left\{t \in R: f(x)=|x-\pi| \cdot\left(e^{|x|}-1\right) \sin |x|\right. \) is not differentiable at \( \left.t\right\} \). Then the set \( S \) is equal to:
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