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Wikipedia:Reference desk/Archives/Mathematics/2023 March 21

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March 21

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What is the limit of:

1/ln 2 - 1/ln 3 + 1/ln 4 - 1/ln 5 + 1/ln 6 - 1/ln 7, and so on??

The terms approach 0 very slowly, but they alternate adding and subtracting, so the series must converge, right?? How much is known about the limit of this series?? Georgia guy (talk) 00:00, 21 March 2023 (UTC)[reply]

See OEISA099769. --RDBury (talk) 08:12, 21 March 2023 (UTC)[reply]
they alternate adding and subtracting, so the series must converge, right?? Yes (because the terms are decreasing). TigraanClick here for my talk page ("private" contact) 12:30, 21 March 2023 (UTC)[reply]