Find the range of `f(x)=(x-[x])/(1-[x]+x '),w h e r e[]` represents the greatest integer function.

Find the domain and range of f(x)="sin"^(-1)(x-[x]), where [.] represents the greatest integer function.

The greatest integer function f(x)=[x] is -

Find the points of discontinuity of the function: f(x)=[[x]]-[x-1],w h e r e[dot] represents the greatest integer function

Find the domain of the function f(x)=(1)/([x]^(2)-7[x]-8) , where [.] represents the greatest integer function.

Discuss the differentiability of f(x)=[x]+|1-x|, x in (-1,3),w h e r e[dot] represents greatest integer function.

Find the domain of f(x)=sqrt(([x]-1))+sqrt((4-[x])) (where [ ] represents the greatest integer function).

Draw the graph of f(x)=[tan^(-1)x]," where "[*]" represents the greatest integer function".

Evaluate the following limits using sandwich theorem: lim_(x->oo)([x])/x ,w h e r e[dot] represents greatest integer function.

Find the value of : int_0^(10)e^(2x-[2x])d(x-[x])w h e r e[dot] denotes the greatest integer function).

Find the period of the following. (i) f(x)=(2^(x))/(2^([x])) , where [.] represents the greatest integer function. (ii) f(x)=e^(sinx) (iii) f(x)=sin^(-1)(sin 3x) (iv) f(x) =sqrt(sinx) (v) f(x)=tan((pi)/(2)[x]), where [.] represents greatest integer function.