If f(x)=[x] sin ((pi)/([x+1])), where [....

If `f(x)=[x] sin ((pi)/([x+1]))`, where [.] denotes the greatest integer function, then the set of point of discontiuity of f in its domain is

A

all ` x in I-{-1}`

B

`all x in I -{0}`

C

`all x in I`

D

` all x in I -{-1,0}`

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The correct Answer is:

A

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