- #1

Mad Season

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## Homework Statement

[tex]\sum_{n=1}^{\infty} \frac{7n}{6n^2 ln(n)+2}[/tex]

Determine whether the series converges or diverges.

## Homework Equations

Denominator is growing faster, so the limit as n --> to infinity should equal zerio

## The Attempt at a Solution

I tried isolating the highest power of the both the numerator and denominator. Which is:

[tex]\frac{7n}{6n^2 ln(n)}[/tex] = [tex]\frac{7}{6n ln(n)}[/tex]

What would I do next? Would I compare the simplified bn to an for a limit comparison test?

I also tried a direct comparison through: [tex]\frac{1}{6n^2+2}[/tex]

But I can't tell if that would work. Would the an be less than bn?

Any feedback and help appreciated.

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