Home
Class 12
MATHS
If sum(n=0)^(oo)2cot^(-1)((n^(2)+n+4)/(...

If `sum_(n=0)^(oo)2cot^(-1)((n^(2)+n+4)/(2))=k pi`, then find the value of k.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Matching Type Questions)|6 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise 6|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

If sum_(n=0)^oo2cot^(-1) ((n^2+n-4)/2)=kpi then find the value of k

If for n in N ,sum_(k=0)^(2n)(-1)^k(^(2n)C_k)^2=A , then find the value of sum_(k=0)^(2n)(-1)^k(k-2n)(^(2n)C_k)^2dot

sum_(n=1)^(oo)(2 n^2+n+1)/((n!)) =

If the sum sum_(n=1)^10 sum_(m=1)^10 tan^(-1) (m/n) = k pi , find the value of k

sum_(n=1)^(oo) (2n)/(n!)=

Let f(n)=sum_(k=-n)^(n)(cot^(-1)((1)/(k))-tan^(-1)(k)) such that sum_(n=2)^(10)(f(n)+f(n-1))=a pi then find the value of (a+1) .

If sum_(k=1)^(k=n)tan^(- 1)((2k)/(2+k^2+k^4))=tan^(- 1)(6/7), then the value of 'n' is equal to

The value of sum sum_(n=1)^(oo)cot^(-1)(((n^(2)+2n)(n^(2)+2n+1)+1)/(2n+2)) is equal to

The expression sum_(n=1)^(oo)cot^(-1)(n^(2)-3n+3) simplifies to

If theta in (pi//4, pi//2) and sum_(n=1)^(oo)(1)/(tan^(n)theta)=sin theta + cos theta , then the value of tan theta is