Home
Class 11
MATHS
Sum of infinite terms of the series cot^...

Sum of infinite terms of the series `cot^(-1)(1^(2)+3/4)+cot^(-1)(2^(2)+3/4)+cot^(-1)(3^(2)+3/4)+…..` is

A

`pi//4`

B

`tan^(-1)2`

C

`tan^(-1)3`

D

`tan^(-1)4`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II LEVEL -I (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|4 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II LEVEL -I (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II LEVEL -I (MAIN) SINGLE ANSWER TYPE QUESTIONS)|16 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Similar Questions

Explore conceptually related problems

The sum of infinite terms of the series cot^(-1)(2^(2)+1/2)+cot^(-1)(2^(3)+1/2^(2))+cot^(-1)(2^(4)+1/2^(3))+…=cot^(-1)k then k =

Find the value of the following cot^(-1)(1/2)+cot^(-1)(1/3)

Cot^(-1)(4/3)-Cot^(-1)(15/8)=

cot((pi)/4-2cot^(-1)3)=

The sum of n terms of the series 1^(2) - 2^(2) + 3^(2)- 4^(2) + 5^(2) -6^(2) + ….is

tan h^(-1)""(1)/(2)+ cot h^(-1) 3=

The sum of the series (1)/(2)((1)/(5))^(2)+(2)/(3)((1)/(5))^(3)+(3)/(4)((1)/(5))^(4)+... is

If S_(n)=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+….. n terms, then

tan^(-1)3+"cot"^(-1)3=(pi)/2