" If "[x]" and "{x}" represent the integral and fractional parts "

If [x] and {x} represetnt the integral and fractional parts of x , respectively, then the value of sum_(r=1)^(1000)({x+r})/(1000) is

If [x] and {x} represent integral and fractional part of x then the function defined by f(x)=[x]+sum_(r=1)^(1000)({x+r})/(1000) is equal to (A) 2[x]+{x} (B) 4x (C) x (D) 4[x]+1000{x}

If [x] and {x} represent integral and fractional part of x then the function defined by f(x)=[x]+sum_(r=1)^(1000)({x+r})/(1000) is equal to (A) 2[x]+{x} (B) 4x (C) x (D) 4[x]+1000{x}

Approach to solve greatest integer function of x and fractional part of x; (i) Let [x] and {x} represent the greatest integer and fractional part of x; respectively Solve 4{x}=x+[x]

Approach to solve greatest integer function of x and fractional part of x ; (i) Let [x] and {x} represent the greatest integer and fractional part of x ; respectively Solve 4{x}=x+[x]

The number of integers in the range of the function f(x)=(x-[x])/(1+{x}) x(where [.] and {.} denote the integral part and fractional part functions respectively is

Let [x] and {x} be the integer part and fractional part of a real number x respectively. The value of the integral int_(0)^(5)[x]{x}dx is -

Solve the equation [x]+{-x}=2x, (where [.l and {} represents greatest integer function fractional part function respectively)