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Limits Continuity and Differentiability question

2012 · Shift 1 · Q38
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  2. /JEE Advanced
  3. /Mathematics
  4. /Limits Continuity and Differentiability
  5. /2012 · Shift 1 · Q38

Limits Continuity and Differentiability question

2012 · Shift 1 · Q38

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityMCQ+3 / −1
Let f(x)={x2∣cos⁡πx∣,xe00,x=0f(x) = \left\{ {\begin{matrix} {{x^2}\left| {\cos {\pi \over x}} \right|,} & {x e 0} \\ {0,} & {x = 0} \\ \end{matrix} } \right.f(x)={x2​cosxπ​​,0,​xe0x=0​ x ∈\in∈ R, then f is
  1. A
    differentiable both at x = 0 and at x = 2.
  2. B
    differentiable at x = 0 but not differentiable at x = 2.
  3. C
    not differentiable at x = 0 but differentiable at x = 2.
  4. D
    differentiable neither at x = 0 nor at x = 2.
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