Smallest integer function and properties

Greatest integer function and properties

Properties of smallest integer function property (i)[-n]=-[n]where n epsilon N (ii) [-x]=-[x]+1; where xepsilon R-Z (iii) [x+n]=[x]+n where x epsilon R-Z and n epsilon Z (iv) [x]+[-x]={1; x notinZ ; 0 ; xinZ} (v) [x]-[-x]={2[x]-1; xnotinZ ; 2[x] ; if xinZ

Questions based on domain OF Inverse & Log function, Greatest Integer function & Properties

Explain Smallest integer function with graph?

The smallest integer is 0.

Property-3, Modulus based || Greatest integer Function based || Fractional part function based question , Discussion Exercise

Evaluation of definite integrals by subsitiution and properties of its : int_(1)^(5)[x-3]dx=......... where [.] is maximum integer function.

Draw the graph of the smallest integer function f:RtoR:f(x)=[x]" for all "x""inR .