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Greatest Integer Function#!#Fractional Part Functions

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Greatest Integer Function | Fractional Part Function | Signum Function

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

Greatest Integer Function | Fractional part Function | Even and Odd Function

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

In which of the following function,range is not singleton set f(x)=[x]+[-x]( b) f(x)={x}+{-x}f(x)=|sgn(x)|(d)f(x)=[sqrt(x-[x]) where [x],{x}, and sgn(x) are greatest integer function,fractional part function and signum function respectively.

Let f (x)= tan/x, then the value of lim_(x->oo) ([f(x)]+x^2)^(1/({f(x)})) is equal to (where [.] , {.} denotes greatest integer function and fractional part functions respectively) -

The number of integral values of x satisfying the equation sgnis greatest integer function,sgn{[(15)/(1+x^(2))])=[1+(2x)] (where [.] is greatest integer function [.] fractional part function and sgn(x) is dignum function)

Period of f(x)=e^(cos x)+sin pi[x] is (l.] and {.} denotes the greatest integer function and fractional part function respectively)