Compute the general term ( aₙ ) of the series with the partial sum ( Sₙ = {9}/{n² + 9} ) on ( n > 1 ). If the sequence of partial sums converges, find its limit ( S ). Otherwise, ( aₙ ).

a) ( aₙ = {9}/{n² + 9} ), ( S = 9 )
b) ( aₙ = {9}/{n² - 9} ), ( S = 9 )
c) ( aₙ = {9}/{n² + 9} ), ( S = 0 )
d) ( aₙ = {9}/{n² - 9} ), ( S = 0 )