Home
Class 12
MATHS
If 1/(1^2)+1/(2^2)+1/(3^2)+..." to "oo =...

If `1/(1^2)+1/(2^2)+1/(3^2)+..." to "oo = pi^2/6, " then " 1/1^2+1/3^2+1/5^2+..` equals

A

`pi^(2)//6`

B

`pi^(2)//16`

C

`pi^(2)//8`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If 1/(1^2)+1/(2^2)+1/(3^2)+ .......=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/(5^2)+.... equals a. pi^2//8 b. pi^2//12 c. pi^2//3 d. pi^2//2

If 1/(1^2)+1/(2^2)+1/(3^2)+ tooo=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/(5^2)+ equals pi^2//8 b. pi^2//12 c. pi^2//3 d. pi^2//2

If 1/1^2+1/2^2+1/3^2+...oo=pi^2/6 then value of 1-1/2^2+1/3^2-1/4^2+...oo=

1/(2!)-1/(3!)+1/(4!) .....oo =

1/(2^2)tan(pi/(2^2))+1/(2^3)tan(pi/(2^3))+.... to oo

(1/(1!) +1/(2!) +1/(3!) + .....oo) (1/(2!) -1/(3!) +1/(4!)-1/(5!) .....oo)

If sum_(r=1)^(oo)(1)/((2r-1)^(2))=(pi^(2))/(8) , then sum_(r=1)^(oo) (1)/(r^(2)) is equal to

If x=(1)/(1^(2))+(1)/(3^(2))+(1)/(5^(2))+.... , y=(1)/(1^(2))+(3)/(2^(2))+(1)/(3^(2))+(3)/(4^(2))+.... and z=(1)/(1^(2))-(1)/(2^(2))+(1)/(3^(2))-(1)/(4^(2))+... then

Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal to a. 3 b. 6/5 c. 3/2 d. none of these

If (1)/(1^(2))+(1)/(2^(2))+(1)/(3^(2))+(1)/(4^(2))+……+ oo=(pi^(2))/(6) and int_(0)^(1)(ln (l+x))/(x)dx=(3pi^(2))/(k) then k equals :