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Identify the options having correct stat...

Identify the options having correct statement:

A

`f (x) =""^(3) sqrt(x^(2) |x|) -1|x|` is nowhere non-differentiable

B

`lim _(x to oo)(x+5) tan ^(-1)(x+1)) -((x+1) tan ^(-1) (x+1))=2pi`

C

`f (x)=sin (ln (x+ sqrt(x^(2)+1)))` is an odd function

D

`f (x) =(4-x ^(2))/(4x-x ^(3))` is discontinous at exactly one point

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A, B, C
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