li([x]+[2x]+[3x]+---[nx])/(n^(2))

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

If [x] denotes the greatest integer less than or equal to x then +[3x]+....+[nx]lim_(n rarr oo)([x]+[2x]+[3x]+......+[nx])/(n^(2))

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

If [.] denotes the greatest integer function then find the value of lim_(n rarr oo)([x]+[2x]+...+[nx])/(n^(2))

Show that Lt_(ntooo)([x]+[2x]+...+[nx])/n^(2)=x/2 .

The period of f(x)=[x]+[2x]+[3x]+[4x]+...[nx]-(n(n+1))/(2)x where n in N, is (where [.] represents greatest integer function).n (b) 1 (c) (1)/(n) (d) none of these

If underset( x rarr0 )("lim")((sin nx) [ ( a-n ) nx - 2 tan x])/( x^(2))=0 then value of a=