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Given a real valued function f such that...

Given a real valued function f such that `f(x)={tan^2[x]/(x^2-[x]^2) , x lt 0 and 1 , x=0 and sqrt({x}cot{x}) , x lt 0` where [.] represents greatest integer function then

A

`lim_(xrarr0^(+))f(x)=1`

B

`lim_(xrarr0^(-))f(x)=sqrt(cot1)`

C

`cot^(-1)(lim_(xrarr0^(-))f(x))^(2)=1`

D

f is continuous at x = 0

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The correct Answer is:
A, B, C
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