If `f(x0=x+{-x}+[x],\ w h e r e\ [x]` is the integral part& `{x}` is the fractional part of `xdot` Discuss the continuity of `f` in `[-2,\ 2]` .

If f(x)=x+{-x}+[x], where [.] is the integral part delta z{.} is the fractional part function.Discuss the continuity of f in [-2,2] . Also find nature of each discontinuity.

Let f(x)=[x] +sqrt({x}) , where [.] denotes the integral part of x and {x} denotes the fractional part of x. Then f^(-1)(x) is

If f(x)={x}&g(x)=[x] (where {.}&[.] denotes the fractional part and the integral part functionsrespectively),then discuss the continuity of

Discuss the minima of f(x)={x}, where {,} denotes the fractional part of x

Evaluate: (int0n[x]dx)/(int0n{x}dx)(w h e r e[x]a n d{x} are integral and fractional parts of xa n dn in N)dot

Evaluate: (int0n[x]dx)/(int0n{x}dx)(w h e r e[x]a n d{x} are integral and fractional parts of xa n dn in N)dot

Solve 2[x]=x+{x},w h r e[]a n d{} denote the greatest integer function and the fractional part function, respectively.

Solve 2[x]=x+{x},w h r e[]a n d{} denote the greatest integer function and the fractional part function, respectively.

Find the domain and range of f(x)=log{x},w h e r e{} represents the fractional part function).

Find the domain and range of f(x)=log{x},w h e r e{} represents the fractional part function).