1. The problem statement, all variables and given/known data Find all values of x such that the given series would converge Σ6n(x-5)n(n+1)/(n+11) 2. Relevant equations 3. The attempt at a solution By doing the ratio test I found that lim 6n(x-5)n(n+1)/(n+11) * (n+12)/[6n+1(x-5)n+1(n+2)] n→inf equals 1/(6(x-5)) * lim (n+12)(n+1)/(n+11)(n+2) This limit = 1 so to solve for the x I set -1<1/6(x-5) and 1/6(x-5)<1 and found the (31/6)<x<(29/6) but apparently this is incorrect. What am I doing wrong?