The function `f( x ) = [x] + sqrt{{ x}}` , where [.] denotes the greatest Integer function an

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Greatest Integer Function With Limits & Graphs Greatest Integer Function With Limits & Graphs
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Prove that the Greatest Integer Function f : R → R, given by f(x)=[x], is neither one-one nor onto. Prove that the Greatest Integer Function f : R → R, given by f(x)=[x], is neither one-one nor onto.
Let `f (x)= [|x|]`, where[.] denotes the greatest integer function, then `f Let `f (x)= [|x|]`, where[.] denotes the greatest integer function, then `f'(-1)` is
`f(x)=log(x-[x])` , which [,] denotes the greatest integer function. `f(x)=log(x-[x])` , which [,] denotes the greatest integer function.
The range of `f(x)=(2+x-[x])/(1-x+[x])`.where [ ] denotes the greatest integer function is The range of `f(x)=(2+x-[x])/(1-x+[x])`.where [ ] denotes the greatest integer function is
The function of f:R to R, defined by f(x)=[x], where [x] denotes the greatest integer less than ... The function of f:R to R, defined by f(x)=[x], where [x] denotes the greatest integer less than ...
Let f(x)=[tan ^2x], (where [.] denotes greatest integer function). Then -(A) lim _x → 0 f(x) does... Let f(x)=[tan ^2x], (where [.] denotes greatest integer function). Then -(A) lim _x → 0 f(x) does...