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Q.

If ∑Tr=n(n+1)(n+2)3 then limn→∞ ∑r=1n 2008Tr=

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a

2008

b

8002

c

2080

d

2000

answer is A.

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Detailed Solution

⇒tn=∑r=1ntr−−∑r=1n−1tr=nn+1=2008∑r=1n 1r−1r+1⋅limn→∞ ∑2008tn=limn→∞ 20081−1n+1=2008
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