What is the radius of convergence of the series (n+1)(x-3)^n / (2n+1)(2^n). I use the ratio test, cancel things out, and I keep arriving at |(x-3)/2| < 1, which gives me a radius of convergence of 3. However, this is not the correct answer.
The people in #math on Freenode are all AFK for some reason. 
