X The X As X Wo X G"Be X -1-prod-fleet02-xythos.content.blackboardcdn.com/60952172d527a/25774101?X-Blac (b) {(+3)"} 5 Recall: lim n 1 / 1 | - 100% + 0 La X EX X Unit 5 Assignment Part E Instructions: You must show work to receive credit. Write your solutions in solutions into a single PDF file and upload it to Blackboard. Exercise 1. Find the exact value of the limit of the sequence if it converges. (a) { 1 + } +5)** - Mazen G. Zarrouk = ers (c) {n + 3n+1_n} (d) {n + 3n +1 n} Exercise 2. A sequence {an} is recursively defined by the rule a = 2, an+1 = (a) Write the first six terms of this sequence. (b) Prove that an < 4 for all n. (c) Prove that {an} is a monotonically increasing sequence. e hp (an + 4)