Determine the asymptotic behavior of the sequence a determine whether the series O 1 1 -0 (+/-)
a) an = n n' 0 a₁ = 0 (²) as n → +[infinity], so the series diverges.
b) An= 0(1/n). as n → +[infinity]o, so the series diverges.
c) An= n' n2 1 O 0 - ² + 0 (+/-)as n → +00, so the series converges.
d) An=+0 n n 1 O 00₁ = ² + 0 (13) ne as n → +[infinity]o, so the series converges.
e) An= n n O an = 0(1) +0 2) as n → +[infinity], so the series converges.
