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Limits Continuity and Differentiability question

2018 · Shift 0 · Q42
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  2. /JEE Main
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  4. /Limits Continuity and Differentiability
  5. /2018 · Shift 0 · Q42

Limits Continuity and Differentiability question

2018 · Shift 0 · Q42

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
Let S = { t ∈R:f(x)=∣x−π∣.(e∣x∣−1)sin⁡∣x∣\in R:f(x) = \left| {x - \pi } \right|.\left( {{e^{\left| x \right|}} - 1} \right)\sin \left| x \right|∈R:f(x)=∣x−π∣.(e∣x∣−1)sin∣x∣ is not differentiable at t}, then the set S is equal to
  1. A
    {0, π\piπ}
  2. B
    ϕ\phiϕ (an empty set)
  3. C
    {0}
  4. D
    {π\piπ}
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