Fractional part function

GI & FF | Lecture 2 | Fractional part function | JEE Advanced Compendium #jeeadvanced

GI & FF | Lecture 3 | Greatest integer & fractional function SE | JEE Advanced Compendium

Fractional part function f(x)={x}: Introduction Lecture 1

Fractional part function f(x)={x}: Graph & periodicity Properties (P1&2) Lecture 2

Fractional part function f(x)={x}: Properties (P3 & P4) Lecture 3 {x+n}={x}; {x}+{-x}=0 or 1

Fractional part function: Properties Solved Example 1: 3{x}^2-10{x}+3=0

Fractional part function: Properties Solved Example 2: Range of the function f(x)={x}/({x}+1)

Fractional function: Periodicity Solved example 1 Find period f(x)=3x-[3x-2]+tanpix/3

Fractional function: Periodicity Solved example 2 Find period f(x)={x}+{x+1/3}+{x+2/3}

Fractional part function: Equations Solved example: 2{x}^2-5{x}+2=0

Fractional part function Inequalities Solved example: (2{x}-1)({x}-2)/({x}+3)(3{x}-4) greater than 0

Transformations of graph Lecture 4: Fractional part function y=f({x}) and y={f(x)} with examples

Greatest Integer & Fractional Function Equations : Lecture 10 Solve 2[x]=x+{x}

Greatest Integer & Fractional Function Equations : Solved Example 1: 4{x}=x+[x]

Greatest Integer & Fractional Function Equations : Solved Example 2: [x]+2{-x}=3x