perplexus.info :: Calculus : Summing inverses

Summing inverses (Posted on 2004-08-19)

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(3): Reason why sum of limits is not same as limit as sums

| Comment 12 of 18 |

I see what you're saying. Does it matter if all terms approach zero (instead of just the nth?) I'm curious now.

Posted by Eric on 2004-08-20 06:25:36

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