If f(x)={((tan^-1(x+[x]))/([x]-2x)[x]ne0...

If `f(x)={((tan^-1(x+[x]))/([x]-2x)[x]ne0,,),(0[x]=0,,):}` where `[x]` denotes the greatest integer less than or equal to x, than `lim_(xto0) f(x)` is

A

`(-1)/2`

B

1

C

`(pi)/4`

D

Does not exist

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The correct Answer is:

D

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