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Can anybody suggest a website that has worked out examples using the Cauchy Criterion for Series? or, if your feeling ambitious, work out the following problems below:

1.

[tex]\sum^{\infty}_{n=1}1/n[/tex]

2.

[tex]\sum^{\infty}_{n=1}1/(n(n+1))[/tex]

The reason why I'm asking for this is because our textbook introduces the theorem (Steven Lay) but it does not demonstrate its usage. I have also perused the web and was not able to find a complete demonstration.

I only need to see it being used. The problems above are not homework questions. I promise.

I appreciate your help

M