How can I show if these series are convergent or divergent?
∑k = 1∞ ((k!)^(1/k))/(k)
For the following series:
∑k = 1∞ (e^(3ik))/(k^(3/2))
I have started a solution here:http://img819.imageshack.us/img819/6864/solution.jpg
and was wondering if it is correct. Why is (e^(3ik))=1 when k->∞
Appriciate any guidance and a detail explanation.