tr0athenrenelle tr0athenrenelle

30-11-2016
Mathematics

Answered

determine whether the series converges:

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

Verified Answer :

MathisLif3 MathisLif3

30-11-2016

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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