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Mathematics 12 Online
OpenStudy (anonymous):

convergent divergent series

OpenStudy (anonymous):

Determine if the series is a convergent series or divergent series.

OpenStudy (anonymous):

\[\sum_{n=1}^{\infty}n^{-1} \ln(n)\]

OpenStudy (anonymous):

I don't know what test to start with for this

OpenStudy (anonymous):

do i have to do an integral test?

OpenStudy (anonymous):

help :(

OpenStudy (astrophysics):

You have to use the comparison test

OpenStudy (astrophysics):

\[\sum_{n=1}^{\infty}n^{-1} \ln(n) \implies \sum_{n=1}^{\infty}\frac{ \ln(n) }{ n }\]

OpenStudy (anonymous):

ah

OpenStudy (anonymous):

so would I compare \[\frac{ \ln(n) }{ n }\] with 1/n

OpenStudy (astrophysics):

Bingo

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