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## Homework Statement

Determine convergence for each of the following:

∞

∑ 1 / [n (log n)

^{2}]

n=2

∞

∑ 1 / [n log n log(log n)]

n=2

[log=ln=natural log]

## Homework Equations

## The Attempt at a Solution

I learned the root test, ratio test, comparsion test, and integral test. But how can we figure out what test to use? Would the "ratio test" work here?

Any help is appreciated!