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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)` then `4(lim_(x rarr oo)sum_(x-1)^(n)(1)/(T_(r)))` is equal to

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