Motivate the ratio test. Add details to solution

Motivate the ratio test. Add details to solution

Would it be possible to motivate why the ratio test is a good choice?

Also, please add more details on how you resolved the (k+1)! and (2(k+1))! terms from line 2 to 3, and state that you divide top and bottom by k^2 from line 3 to 4.

Bernhard Konrad (talk)22:44, 5 March 2014