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

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)(sin x)^(2n)

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

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

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

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.

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.

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.

If f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1) then range of f(x) is

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