Discuss the differentiability of `f(x)=[x]+setminus1-x|dotx in (-1,3),w h e r e[dot]` represents 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.

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

Discuss the differentiability of f(x) =x[x]{x} in interval [-1,2] , where [.] and {.} denotes the greatest integer function and fractional part fntion , respectively .

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

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

Evaluate: int_0^(100)(x-[x]dx(w h e r e[dot] represents the greatest integer function).

Evaluate: int_0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest integer function.

Evaluate: int_0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest integer function.

Discuss the continuity and differentiability of f(x)=e^(|x|)dot

f:(2,3)vec(0,1)d efin e db yf(x)=x-[x],w h e r e[dot] represents the greatest integer function.