Home
Class 12
MATHS
If lim(n to oo) sum(k=2)^(n)cos^(-1)((1...

If `lim_(n to oo) sum_(k=2)^(n)cos^(-1)((1+sqrt((k-1)(k+2)(k+1)k))/(k(k+1)))=(120pi)/(lambda)`, find the value of `lambda`.

A

700

B

720

C

760

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the value lim_(n rarr oo) sum_(k=2)^(n) cos^(-1) ((1 + sqrt((k -1) k(k + 1) (k + 2)))/(k(k + 1)))

If lim_(n rarr oo)(sum_(r=1)^(n)sqrt(r)sum_(r=1)^(n)(1)/(sqrt(r)))/(sum_(r=1)^(n)r)=(k)/(3) then the value of k is

The value of lim _( x to oo) sum _(k =1) ^(n) ((k)/(n ^(2) +n +2k))=

lim_ (n rarr oo) sum_ (k = 1) ^ (n) (k ^ (2)) / (2 ^ (k))

Find sum_(k=1)^(n)(tan^(-1)(2k))/(2+k^(2)+k^(4))

S= lim_(nrarroo) sum_(k=0)^n 1/sqrt(n^2 + k ^2)

sum_(k =1)^(n) k(1 + 1/n)^(k -1) =

The value of lim_(n rarr oo)sum_(k=1)^(n)log(1+(k)/(n))^((1)/(n)) ,is

sum_(k=1)^(oo)(1)/(k sqrt(k+2)+(k+2)sqrt(k))=(2+sqrt(2))/(a) then