Home
Class 12
MATHS
If f(x)=lim(n->oo) {2x+4x^3+...+2n x^...

If `f(x)=lim_(n->oo) {2x+4x^3+...+2n x^(2n-1)}, 0 < x< 1` and `int f(x) dx = F(x) and F(1/sqrt(2)) = 2`, then (i) `F(0)=1`, (ii) `F(1/2)=4/3`, (iii) `F(0)=-1`, (iv) `F(-1/2)=4/3`

Promotional Banner

Similar Questions

Explore conceptually related problems

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

If f(x) ={2x-1, if x > 1 and x^2+1 if -1<=x<=1 and if (f(1) + f(3) + f(x))/(f(2)+f(-1)+f(1/2))= 32/25 then x =

If f(x)="cos"^(2)x+"sec"^(2)x , then (i) f(x)lt1 (ii) f(x)=1 (iii) 2ltf(x)lt1 (iv) f(x)ge2

If f(x)=int(3x^4-1)/(x^4+x+1)^2dx and f(0)=0 , then f(-1)= …

If f(x)=int(3x^4-1)/(x^4+x+1)^2dx and f(0)=0 , then f(-1)= …

Let f(x)=int(1)/((1+x^(2))^(3//2))dx and f(0)=0 then f(1)=

If int1/((1+x^(2))sqrt(1-x^(2)))dx=F(x) " and " F(1)=0 , then for x gt 0, F(x)=

If f(x^(2) - 4x + 4) = x^(2) + 1 . Find f(1) if f(1) lt 8 .