Let `f(x)={((tan^2[x])/(x^2-[x]^2),),((1)/(sqrt(|x|cot|x|)),):} {:(,"for",xgt0,),(,"for",x=0,),(,"for&q

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_(xto^+)f(x)=1`
B. `lim_(xto0^-)f(x)=cot1 `
C. `cot^-1 (lim_(xto0^-) f(x))^2=1`
D. `tan^-1 (lim_(xto0^+)f(x))=(pi)/(4)`

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 respecti

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

Please log in or register to add a comment.

Find MCQs & Mock Test

Related questions

Categories