if `[x]` denotes the greatest integer less than or equal to x, than `lim_(xrarr0)(x[x])/(sin|x|)`, is

If f(x)={((tan^-1(x+[x]))/([x]-2x)[x]ne0,,),(0[x]=0,,):} where [x] denotes the greatest integer less than or equal to x, than lim_(xrarr0) f(x) is

If n in N , and [x] denotes the greatest integer less than or equal to x, then lim_(xrarrn)(-1)^([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

Let [x] denote the greatest integer less than or equal to x . Then, int_(0)^(1.5)[x]dx=?

Let [x] denote the greatest integer less than or equal to x . Then, int_(0)^(1.5)[x]dx=?