3. Use Algebra of Limits and/or First Squeeze Theorem as needed to determine if the following sequences
converge or diverge. If a sequence converges, find its limit. (You do not need to do any no-É› proofs.)
(a) $a_n = \frac{3+5n^2}{n+n^2}$
(b) $a_n = \frac{\cos^2 n}{2n}$
(c) $a_n = \frac{n}{1+\sqrt{n}}$
(d) $a_n = \ln(n+1) - \ln n$
(e) $\{0, 1, 0, 0, 1, 0, 0, 0, 1, ...\}$
