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T(n) =sum ( r =2n )^(3n-1) (r)/(r ^(2) +...

`T_(n) =sum _( r =2n )^(3n-1) (r)/(r ^(2) +n ^(2)), S_(n) = sum _(r =2n+1)^(3n) (r )/(r ^(2) + n ^(2)),` then ` AA n in {1,2,3...}:`

A

`T_(n ) gt 1/2 ln 2`

B

` S_(n) lt 1/2 ln 2`

C

` T_(n) lt 1/2 ln 2`

D

` S_(n)gt 1/2 ln 2`

Text Solution

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The correct Answer is:
A, B
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