Greatest integer function and properties

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

Smallest integer function and properties

Solve the following equations (where [*] denotes greatest integer function and {*} represent fractional part function and sgn represents signum function)

lim_(xrarr oo) (logx)/([x]) , where [.] denotes the greatest integer function, is

The function f(x)={x} sin (pi[x]) , where [.] denotes the greatest integer function and {.} is the fractional part function, is discontinuous at

Explain Greatest integer function with graph

Let f(x) = [x] and [] represents the greatest integer function, then

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