[underset n rarr oo L([x]+[3x]+[5x]+......+[(2n-1)x])/(n^(2))=],[" (where [.] denetes greatest integer "],[" functien "]

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

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

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

f(x) = lim_(n->oo) sin^(2n)(pix)+[x+1/2] , where [.] denotes the greatest integer function, is

lim_ (x rarr oo x rarr oo in r) ([2x]) / (x) (where [x] denotes greatest integer <= x)

f(x)=lim_(n rarr oo)sin^(2n)(pi x)+[x+(1)/(2)], where [.] denotes the greatest integer function,is

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

lim_(x->0) (lnx^n-[x])/[x], n in N where [x] denotes the greatest integer is

lim_(x rarr oo) (logx^(n)-[x])/([x]) , where n in N and [.] denotes the greatest integer function, is