Do the following series converge or diverge?
What is the sum (exact form) of
Sum(k*p^(k-1)) k=0..infinity and |p|<1
^ is power to
* is multiplication
For the first two I tried the Ratio and Root test and found L=1 in
both cases. Also the divergence test is inconclusive. How do I
determine if the series converges or diverges?