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If S(n)=(1)/(6) n(n+1)(n+2) is the sum ...

If `S_(n)=(1)/(6) n(n+1)(n+2)` is the sum to n terms of a series whose `n^(th)`term is `T_(n)`, then `lim _(n rarr oo) sum_(r=1)^(n) (1)/(T)` is

A

`(n(n+1))/(2)`

B

`(n(n+2))/(2)`

C

`(n(n+3))/(2)`

D

`(n(n+5))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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