# 7. Determine whether the statement is true or false. If it is false, give an example...

###### Question:

7. Determine whether the statement is true or false. If it is false, give an example that shows it is false. If it is true, prove it or refer to a theorem.
(1) If {an} is divergent, then {an} is unbounded. (2) If {an} is bounded, then {an} is convergent. (3) If {an} converges and {bn} converges, then {an + bn} converges. (4) If {an) is convergent and {bn} is divergent, then {an + bn} is convergent. (5) If {an} and {bn} are both divergent, then {an + bn} is divergent.

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