Question: Theorem 5 says that every convergent sequence is bounded. Determine if the following statements are true or false and if false, give a counterexample. (a)

Theorem 5 says that every convergent sequence is bounded. Determine if the following statements are true or false and if false, give a counterexample.
(a) If {an} is bounded, then it converges.
(b) If {an} is not bounded, then it diverges.
(c) If {an} diverges, then it is not bounded.

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