f: (0,oo) to (-pi/2,pi/2)" be defined as...

`f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log_(e)x)`.
If `x_(1),x_(2) and x_(3)` are the points at which g(x) =[f (x)] is discontinuous (where, [.] denotes the greatest integer function), then `(x_(1)+x_(2)+x_(3))" is :"`

A

2

B

3

C

greater than 3

D

belong to

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The correct Answer is:

C

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