Can Gauss Test Be Applied to Multiple Series?

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Can Gauss test be applied to second and third series. I am totally confused which test to apply on the first series.
 

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For number 3, use Cauchy's test and remember that

[tex]\displaystyle \lim_{n\to \infty} \left( 1+\frac{1}{n}\right )^n=e[/tex]

It will also work nicely for the first problem
 
Thank you Gregg!