1. The problem statement, all variables and given/known data Ʃ((x-3)^(n)) / (n*2^(n)) 2. Relevant equations lim as n→ ∞ (An+1 / An) 3. The attempt at a solution When dividing two fractions, invert the second and multiple to get what you see below. (x-3)^(n+1)/((n+1)*2^(n+1)) * (n*2^(n))/((x-3)^(n)) Do some cross canceling to get (n(x-3)) / (2(n-1)) Then when you take the limit as n goes to infinity, you're just left with (x-3)/2 What I'm stuck on is what to do next. The answer is two, but I'm not seeing it.