Prove each of the following limit statements, using the theorems of this and previous sections: 3n+8n n³ + sin(3n) (a) lim = +[infinity] (b) lim = +[infinity] 318 n-1 (c) lim (d) lim 818 n10 7n n! nx n100 = +[infinity] 3n - 5n 4n Theorem 2.4.7 (Comparison Test) Suppose {an} and {bn} are sequences such that VnE N, an ≤ bn. (a) If lim an = +[infinity]o, then lim bn = +[infinity]. n→[infinity] n-x (b) If lim bn = [infinity], then lim an = -[infinity]. n→[infinity] 818