Greatest Integer and Fractional Part Function

Find the domain and range of the following functions.(Read the symbols [*] and {cdots} as greatest integers and fractional part function respectively f(x)=cos^(-1)((sqrt(2x^(2)+1))/(x^(2)+1))

The value of int_(0)^(|x|){x} dx (where [*] and {*} denotes greatest integer and fraction part function respectively) is

Question on domain OF greatest integer & Fractional part function|| Illustration

Greatest Integer Function|Fractional Part Function|Exercise Questions|OMR

Let x in R^(+) such that {x},[x],x are in G.P. where [**]&{*} are greatest integer delta fractional part functions respectively.common ratio of this G.P. is

Solve : [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions, respectively.

The range of the function f defined by f(x)=[(1)/(sin{x})] (where [.] and {.}, respectively,denote the greatest integer and the fractional part functions) is

The total number of solutions of [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions,respectively,is equal to: 2 (b) 4 (c) 6 (d) none of these

Greatest Integer Function | Fractional Part Function | Signum Function

Greatest Integer Function | Fractional Part Function | Signum Function | Even and Odd function based problems