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40. if f(x) = tan(pi[(2x-3pi)^3])/(1+[2x...

40. if `f(x) = tan(pi[(2x-3pi)^3])/(1+[2x-3pi]^2) ` ([.] denotes the greatest integer function), then (A) f(x) is continuous in R (B) f(x) is continuous in R but not differentiable in R (C) f (x) exists everywhere but f'(x) does not exist at some x eposilon R (D) None of these

A

`f(x)` is continuous in R

B

`f(x)` is continuous in R but not differentiable in R

C

`f(x)` exists everywhere but `f'(x)` does not exists at some `x epsilonR`

D

None of these

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