Home
Class 12
MATHS
The value of underset(n rarroo)(lim)sum(...

The value of `underset(n rarroo)(lim)sum_(r=1)^(n)(1)/(sin{((n+r)pi)/(4n)}).(pi)/(n) ` is equal to

A

`2ln(sqrt(2)-1)`

B

`4ln(sqrt(2)-1)`

C

`4ln(sqrt(2)+1)`

D

`lnsqrt(2)`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

The value of lim_(n rarroo) sum_(r=1)^(n)(1)/(sin{((n+r)pi)/(4n)}).(pi)/(n) is equal to

sum_(n=1)^(oo)((1)/(4n-3)-(1)/(4n-1))=(pi)/(n) find n

underset(nrarroo)"lim"[sin'(pi) /(n)+sin'(2pi) /(n)+"......"+sin((n-1))/(n) pi ] is equal to :

The value of lim_(n to oo)sum_(r=1)^(n)(1)/(n) sqrt(((n+r)/(n-r))) is :

The value of ("lim")_(n rarr oo)sum_(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r)+sqrt(n))^2) is equal to

sum_(r=1)^(n) r^(2)-sum_(r=1)^(n) sum_(r=1)^(n) is equal to

lim_(n to oo) sum_(r=1)^(n) (1)/(n)e^(r//n) is

The value of I=lim_(nrarroo)Sigma_(r=1)^(n)(r)/(n^(2)+n+r) is equal to

lim_(xrarr2)(sum_(r=1)^(n)x^r-sum_(r=1)^(n)2^r)/(x-2) is equal to

Value of underset(ntoinfty)(lim)((n+1)^(1//3)+(n+2)^(1//3)+…+(2n)^(1//3))/(n^(4//3)) is equal to