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\[\sum_{3}^{∞} \frac{ 1 }{ n \ln n \sqrt{(\ln n)^2-1} }\]

any suggestions for what to compare it with? I redid the equation for readability

one sec

try this website http://tutorial.math.lamar.edu/Classes/CalcIII/DivergenceTheorem.aspx

Use integral test.

sorry it has been a while for me. I am really sorry man..

is this what I need to look at? I am making sure I do this right is all..

okay let me review this

that is what I was think also it must be + not - for this test to work as well

according to what I have read on the website at least.

yeah, back to square one I guess

also given that when infinty goes to 3 zero would not be included right?

Am I making sense to you?

because the limit would be 3 in this case

you still with me??

yes

if you come up with zero at any time test fails..

can you check the answer after you are finished?

i got pi/2 -arcsec(ln3), implying that the sum converges

that looks right