Home
Class 12
MATHS
If y = tan^(-1) ((1)/(1 + x + x^(2))) + ...

If `y = tan^(-1) ((1)/(1 + x + x^(2))) + tan^(-1) ((1) /(x^(2) + 2x + 3)) + tan^(-1) ((1)/(x^(2) + 5x + 7))` + ….n terms , then y(0) is

A

`pi/2`

B

`(2n)/(1+n^2)`

C

`(n^2)/(1+n^2)`

D

`-(n^2)/(1+n^2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If y = tan^(-1) ((2x)/(1-x^(2))) then dy/dx =

If y=tan^(-1)((4x)/(1-5x^(2)))+tan^(-1)((3+8x)/(8-3x)) , then (dy)/(dx) is :

If I = int tan^(-1)((2x)/(1-x^(2)))*dx then I-2x*tan^(-1)x =

If tan ^(-1) ((a)/(x))+tan ^(-1) ((b)/(x))=(pi)/(2), then x=

tan ^(-1)((1)/(x+y))+tan ^(-1)((y)/(x^(2)+x y+1))=

If 3 tan ^(-1)((1)/(2+sqrt(3)))-tan ^(-1) (1)/(x)=tan ^(-1) (1)/(3) then x=

If tan^(-1)((x-1)/(x-2)) + tan^(-1)((x+1)/(x+2)) = pi/4 , then find the value x.