I am a bit confused here of whether the following functions diverge or converge.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\sum[/tex] [tex]\ln x \backslash x[/tex]

I used teh Integral test and got an answer showing the series is divergent where

Is this correct? I graphed the equation and saw an answer such that the equation converged to 0.Code (Text):lim ((ln b)^2) / 2 = infinity

b-> infinity

[tex]\sum[/tex] 2/(x (lnx)^2)

I don't think I did this right either. Using the integral test I got

So it converges to 2 / ln(2)Code (Text):lim -2/(ln b) + 2 / ln(2) = 2 / ln(2)

b-> infinity

Am I allowed to assume that -2/(ln b) -> 0 as b-> infinity?

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# Converge or diverge?

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