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Let E=1/(1^2)+1/(2^2)+1/(3^2)+ Then, a.E...

Let `E=1/(1^2)+1/(2^2)+1/(3^2)+` Then, a.`E<3` b. `E >3//2` c. `E >2` d. `E<2`

A

`E lt 3`

B

`E gt 3//2`

C

`E gt 2`

D

`E lt 2`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`Elt1+1/((1)(2))+1/((2)(3))+…`
`=1+(1-1/2)+(1/2-1/3)+….=2`
`Egt1+1/((2)(3))+1/((3)(4))+..`
`=1+(1/2-1/3)+(1/3-1/4)+….=3/2`
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