Home
Class 12
MATHS
Find the value underset(n rarr oo)("li...

Find the value
`underset(n rarr oo)("lim") underset(k =2)overset(n)sum cos^(-1) ((1 + sqrt((k -1) k(k + 1) (k + 2)))/(k(k + 1)))`

Text Solution

Verified by Experts

The correct Answer is:
`pi/6`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise 7|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|1 Videos
  • INDEFINITE INTEGRAL

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

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

The value of cot (underset(n=1)overset(23)sum cot^(-1) (1 + underset(k=1)overset(n)sum 2k)) is

Let S_n=underset(k=1)overset(4n)Sigma (-1)^((k(k+1))/2)k^2 .Then S_n can take value (s)

The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)pi)/(6)) sin ((pi)/(4)+ (kpi)/(6))) is equal to

Prove that underset(r=1)overset(k)sum(-3)^(r-1) .^(3n)C_(2r-1) = 0 , where k = (3n)/2 and n is an even integer.

Find k, so that underset(xrarr2)lim f(x) may exist, where f(x)={(x^2+1, xle2),(x+k, x>2):}

Find vec underset(1)(v)*vec underset(2)(v) if vec underset(1)(v) = 3 hat i+hat j+2 hat k , ' vec underset(2)(v) = 2 hat i-2 hat j+4 hat k .

If underset(0)overset(1)int (3x^2 +2x +k) dx = 0 , write the value of 'k'.

Evaluate the following: underset(0)overset(k)int(dx)/(2+8x^2)= pi/16 , find the value of 'k'.

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

For which value of k will the following pair of linear equations have no solution ? 3x + y = 1 , (2k - 1) x + (k- 1) y = 2k + 1.