Please help with practice problem 1 and 2.

1) (a) Determine if the following statements are true or false. If true give a reason or cite a theorem and if false, give a counterexample. i) If {an} is bounded, then it converges. ii) If {an} is not bounded, then it diverges. iii} If {an} diverges, then it is not bounded. (b) Give an example of divergent sequences {an} and {bu} such that {an + bn} converges. 00 1 2) Evaluate . ; n(n + 1)(n -l 2) _ . 1 A B C Hint: Find constants A, B and C such that = + + . n(n+1)(n+2) n n+1 n+2