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If f(x)={'x^2(sgn[x])+{x},0 <= x <= 2' ...

If `f(x)={'x^2(sgn[x])+{x},0 <= x <= 2' 'sin x+|x-3| ,2 < x< 4 ,` (where[.] & {.} greatest integer function & fractional part functiopn respectively ), then -

A

f(x) is differentiable at x = 1

B

f(x) is continuous but non-differentiable at x

C

f(x) is non-differentiable at x = 2

D

f(x) is discontinuous at x = 2

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The correct Answer is:
C, D
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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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