The value of Sigma( r =2)^( infty) tan^...

The value of ` Sigma_( r =2)^( infty) tan^(-1) ( 1/( r^(2) - 5r + 7)) ` , is

A

`pi/4`

B

`pi/2`

C

`(3pi)/4`

D

`(5pi)/4`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The value of 5 * cot ( Sigma_(k =1)^(5) cot ^(-1) ( k^(2) + k + 1)) is equal to

The value of the lim_(n->oo)tan{sum_(r=1)^ntan^(- 1)(1/(2r^2))} is equal to

If y=sum_(r=1)^(x) tan^(-1)((1)/(1+r+r^(2))) , then (dy)/(dx) is equal to

Sum of the series sum_(r=1)^(n) (r^(2)+1)r! is

Equation x^(n)-1=0,ngt1,ninN, has roots 1,a_(1),a_(2),...,a_(n),. The value of sum_(r=2)^(n)(1)/(2-a_(r)), is

If x^2+y^2+z^2=r^2,t h e ntan^(-1)((z y)/(x r))+tan^(-1)((x z)/(y r))+tan^(-1)((x y)/(z r)) is equal to pi (b) pi/2 (c) 0 (d) none of these

The value of sum_(r=2)^n (-2)^r|(n-2C_(r-2),n-2C_(r-1),n-2C_r),(-3,1,1),(2,-1,0)|(n > 2)

Find the sum of the series Sigma_(r=1)^(n) r x^(r-1) using calculus .

2 tan ( tan^(-1)(x)+ tan^(-1)(x^(3))) " where " x in R - {-1,1} is equal to

Find the value of r , if the coefficients of (2r+4)th and (r-2) th terms in the expansion of (1+x)^(18) are equal .