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14 June, 07:35

Determine whether the series converges:

sum (k=1 - > infinity) [1 / (1+lnk) ]

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  1. 14 June, 08:02
    0
    Series is strictly decreasing so apply Integral test.

    Limit test is also applicable, it implies it may converge.

    Integrate 1 / (1+lnx) you may need product rule.
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