Number of points of discontinuity of `f(x)=[sin^(-1)x]-[x]` in its domain is equal to (where [.] denotes the greatest integer function) a. 0 b. 1`` c. 2 d. 3

lim_(xrarr1([x]+[x]) , (where [.] denotes the greatest integer function )

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :

Period of f(x) = sgn([x] +[-x]) is equal to (where [.] denotes greatest integer function

Domain of f(x)=sin^-1[2-4x^2] is ([.] denotes the greatest integer function)

Solve lim_(xrarr1)[sin^(-1)x] (where [.] denotes greatest integer function.)

underset(xrarr0)(lim)[(sin^(-1)x)/(tan^(-1)x)]= (where [.] denotes the greatest integer function)

Solve [cot^(-1) x] + [cos^(-1) x] =0 , where [.] denotes the greatest integer function

Statement 1: Minimum number of points of discontinuity of the function f(x)=(g(x)[2x-1]AAx in (-3,-1) , where [.] denotes the greatest integer function. and g(x)=a x^3+x^2+1 is zero. Statement 2: f(x) can be continuous at a point of discontinuity, say x=c_1 of [2x-1] if g(c_1)=0. which statement is true?

If f(x)=cos |x|+[|sin x/2|] (where [.] denotes the greatest integer function), then f (x) is

The value of int_0^1.5 [x^2] dx is : where [x] denotes greatest integer function.