In the following, [x] denotes the greatest integer less than or equal to x.
`{:(,"Column I",,"Column II"),(A,x|x|,p,"continuous in (-1, 1)"),(B,sqrt(|x|),q,"differentiable in (-1, 1)"),(C,x + [x],r,"strictly increasing (-1, 1)"),(D,|x-1| + |x + 1|", in"(-1,1),s,"not differentiable atleast at one point in (-1, 1)"):}`

In the following, [x] denotes the greatest integer less than or equal to x. Match the functions in Column I with the properties Column II. {:(,"Column I",,"Column II"),((A),x|x|,(p),"continuous in (-1, 1)"),((B),sqrt(|x|),(q),"differentiable in (-1, 1)"),((C),x + [x],(r),"strictly increasing (-1, 1)"),((D),|x-1|+|x + 1|,(s),"not differentiable at least at one point in (-1, 1)"):}

In the following, [x] denotes the greatest integer less than or equal to x. Match the functions in Column I with the properties Column II. {:(,"Column I",,"Column II"),((A),x|x|,(p),"continuous in (-1, 1)"),((B),sqrt(|x|),(q),"differentiable in (-1, 1)"),((C),x + [x],(r),"strictly increasing (-1, 1)"),((D),|x-1|+|x + 1|,(s),"not differentiable at least at one point in (-1, 1)"):}

Let [x] denote the greatest integer less than or equal to x . Then, int_(1)^(-1)[x]dx=?

If [x] denotes the greatest integer less than or equal to x then int_(1)^(oo) [(1)/(1+x^(2))]dx=

If [x] denotes the greatest integer less than or equal to x,then the value of lim_(x->1)(1-x+[x-1]+[1-x]) is

Let [x] denote the greatest integer less than or equal to x. If x=(sqrt3 + 1)^5, then [x] is equal to

Let [x] denote the greatest integer less than or equal to x. If x=(sqrt(3)+1)^(5), then [x] is equal to

If [x] denotes the greatest integer less than or equal to x, then the value of lim_(x rarr1)(1-x+[x-1]+[1-x]) is