Prove that the Greatest Integer Function f : R → R, given by f(x) = [x], is neither one-one nor onto, where [x] denotes the greatest integer less than or equal to x.

Prove that the greatest integer function f: RR rarr RR , given by f(x)=[x] , is neither one-one nor onto, where [x] denotes the greatest integer less than or equal to x.

Show that f: R->R , given by f(x)=x-[x] , is neither one-one nor onto.

Prove that the greatest integer function f:RtoR , given by f(x)=[x] is a many-one function.

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

lim_(xrarr oo) (log[x])/(x) , where [x] denotes the greatest integer less than or equal to x, is

Show that the modulus function f: R->R , given by f(x)=|x| is neither one-one nor onto.

If f(x)=|x-1|-[x] , where [x] is the greatest integer less than or equal to x, then

Show that the function f : R ->R , defined as f(x)=x^2 , is neither one-one nor onto.

Show that the function f : R ->R , defined as f(x)=x^2 , is neither one-one nor onto.

Show that the function f: R-> R : f(x)=sinx is neither one-one nor onto