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Summing inverses (Posted on 2004-08-19) Difficulty: 3 of 5
What's the limit, as n→∞, of 1/(n+1)+1/(n+2)+1/(n+3)+...+1/(2n)?

See The Solution Submitted by Federico Kereki    
Rating: 4.0000 (5 votes)

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re(4): Reason why sum of limits is not same as limit as sums | Comment 13 of 18 |
(In reply to re(3): Reason why sum of limits is not same as limit as sums by Bob)

If we had a sum of infinite terms, and those didn't tend to zero, then the sum would be infinite.
  Posted by Federico Kereki on 2004-08-20 07:51:46

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