Determine whether the series converges:

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

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Mathematics

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26 April, 02:18

Determine whether the series converges:

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

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Itzel Shelton · Answer 1

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.

Determine whether the series converges:sum (k=1 - > infinity) [1 / (1+lnk) ]

Determine whether the series converges:

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