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

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=1

C

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

D

f(x) is discontinuous at x=2

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B, C, D
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