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Let S = {t ∈ R : f ( x ) = | x – π | ⋅ (e | x | – 1) sin| x | is not differentiable at t}. Then the set S is equal to :

1. φ (an empty set)
2. {0}
3. { π }
4. {0, π }

Correct answer: φ (an empty set)

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