underset n rarr oo Lt([x]+[3x]+[5x]+......+[(2n-1)x])/(n^(2))=(" where "[.]" denotes greatest integer function "

Evaluate lim_(nrarrinfty)([x]+[2x]+[3x]+......+[nx])/(n^2) where [.] denotes greatest integer function.

Lt_(x to oo) ([x])/(x) (where[.] denotes greatest integer function )=

Evaluate lim{n-> oo) ([1.2x]+[2.3x]+.....+[n.(n+1)x])/(n^3)), where [.] denotes greatest integer function.

lim_(xrarroo)([x]+[2x]+[3x]+….+[nx])/(n^(2)) , where [*] denotes greatest integer function, is

lim_(n rarr oo)([x]+[3x]+[5x]+[(2n-1)x])/(n^(2))

Lt_(xto2) [x] where [*] denotes the greatest integer function is equal to

If [x+[2x]] lt3 , where [.] denotes the greatest integer function, then x is

Evaluate underset(x rarr 0 ) ("lim") [ ( sin^(-1) x )/( x ) ] ( where [ ** ] denotes the greatest integer function ) .

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

Domain of f(x)=log(x^2+5x+6)/([x]-1) where [.] denotes greatest integer function: