1. The problem statement, all variables and given/known data show whether [tex]\sum[/tex] (n+5)/(n3-2n+3) is convergant of divergant 2. Relevant equations limit comparison test, lim an/bn = c where c > 0 3. The attempt at a solution an is given let bn = n/n3 so then: lim (n+5)/(n3-2n+3) n/n3 = lim (n+5)n3 / (n3 - 2n + 3)n = lim (n4 + 5n3) / (n4 - 2n2 +3n) = lim (5n3) / (-2n2+3n) now as n -> infinity, lim (5n3) / (-2n2+3n) -> -5n/2 and as n -> inifinity, -5n/2 -> -inifinity... therefore divergant? since c < 0?? feel free to tell me i have no idea. these things confuse me so much.