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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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Some Thoughts re: Counterintuitive | Comment 5 of 18 |
(In reply to Counterintuitive by Bob)

"If you take the sum of the limits of each individual term, then the limit is zero."

The problem is, that the limit of a sum of terms DOESN'T equal the sum of the limits of the terms... there's no paradox there, just a false theorem.
  Posted by Oskar on 2004-08-19 11:25:30

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