1. The problem statement, all variables and given/known data The limit as n approaches infinity of: The sum from i = 1 to n of: (3/n)^3 * i^2 - (3/n)^2 * i A) -1/6 B) 0 C) 3 D) 9/2 E) 31/6 Answer - D 3. The attempt at a solution So, my first idea was to split the sum into two distinct sums and then take out powers of 3/n ie: Limit of: 27/n^3 Sum of i^2 + Limit of: 9/n^2 Sum of -i Now the second sum is just -(n+1)n/2 thus the second term goes to -9/2 as n goes to infinity. This is were I'm stuck any help would be appreciated. Or suggestions on approaching this problem differently.