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

If ` sum_(r=1)^(n)T_(r)=(n(n+1)(n+2)(n+3))/(12)` where `T_(r)` denotes the rth term of the series. Find ` underset(nto oo)(lim)sum_(r=1)^(n)(1)/(T_(r))`.

A

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

B

`(n-1)/((n+1)!)`

C

`(4n)/(n+1)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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