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If S(n) = sum(n=1)^(n) (2n + 1)/(n^(4) +...

If `S_(n) = sum_(n=1)^(n) (2n + 1)/(n^(4) + 2n^(3) + n^(2))` then `S_(10)` is less then

A

`0`

B

`1`

C

`2`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
`S_(n)=sum_(n=1)^(n)(2n+1)/(n^(2)(n+1)^(2)) = sum_(n=1)^(n)((1)/(n^(2))-(1)/((n+1)^(2)))`
`S_(10) = 1-(1)/(121)=(120)/(121)`
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