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Let f(x)={((tan^2[x])/(x^2-[x]^2),),((1)...

Let `f(x)={((tan^2[x])/(x^2-[x]^2),),((1)/(sqrt(|x|cot|x|)),):} {:(,"for",xgt0,),(,"for",x=0,),(,"for",xlt0,):} "where" [x]` and `{x}` denote respectively the greatest integer less than equal to x and the fractional part of x, then

A

`lim_(xto0^(+))f(x)=1`

B

`lim_(xto0^(-))f(x)=1`

C

`cot^(-1)(lim_(xto0^(-))f(x))^(2)=1`

D

None of the above

Text Solution

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The correct Answer is:
A
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