[|f(x)=lim_(n rarr oo)[2x+4x^(3)+......+2nx^(2n-1)](0

If (x)=lim_(n rarr oo)[2x+4x^(3)+6x^(5)++2nx^(2n-1)]f(x)=lim_(n rarr oo)[2x+4x ^(3)+6x^(5)++2nx^(2n-1)](0

Let f(x)=lim_(n rarr oo)[((nx+1)(nx+2)(nx+3)......(nx+n))/(n!)]^((1)/(n)) for all x>0 on the basis of above information,answre the following questions lim_(n rarr oo)x(1(x))/(f(x)) is equal to

Discuss the continuity of f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n+1))

let f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1)

If f(x)=lim_(n->oo)[2x+4x^3+6x^5++2n x^(2n-1)] (0ltxlt1) then int f(x)dx is equal to:

The function f(x)=lim_(n rarr oo)(x^(^^)(2n)-1)/(x^(^^)(2n)+1)^(-) is identical with the function

lim_(n rarr oo) 5^(((2x)/(x+3)) =

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))

lim_(x rarr oo) (1+2/n)^(2n)=

Find the values of a if f(x)=("lim")_(n rarr oo)(a x^(2n)+2)/(x^(2n)+a+1) is continuous at x=1.