(1/2 + 3/4 + 5/6 + ... + 99/100) - (2/3 + 4/5 + 6/7 + ... + 98/99)?
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# (1/2 + 3/4 + 5/6 + ... + 99/100) - (2/3 + 4/5 + 6/7 + ... + 98/99)?

[From: ] [author: ] [Date: 17-06-08] [Hit: ]
+ 98/99)?sepia say: (1/2 + 3/4 + 5/6 + ... + 99/100) - (2/3 + 4/5 + 6/7 + ........
(1/2 + 3/4 + 5/6 + ... + 99/100) - (2/3 + 4/5 + 6/7 + ... + 98/99)?

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sepia say: (1/2 + 3/4 + 5/6 + ... + 99/100) - (2/3 + 4/5 + 6/7 + ... + 98/99)
= 47.7503973308352874712197641035176154540... - 47.0622251515250922679751182208241313880...
= 0.68817217931019520324464588269348406593...
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Scott B say: Using an Excel spreadsheet, I get 0.688172.
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Jeffrey say: http://www.wolframalpha.com/input/?i=%5B...
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J say: The exact answer is
4 7979622564 1557869184 7860903966 2898122617 / 6 9720375229 7124771645 3380893531 2303556800
(spaces inserted to prevent Y!A from truncating)

ln(2) if you continue, is the limit
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1
keywords: 99,98,100,(1/2 + 3/4 + 5/6 + ... + 99/100) - (2/3 + 4/5 + 6/7 + ... + 98/99)?
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