1 answer

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, p

(1) If {an} is divergent, then {an} is unbounded. (2) If {an} is bounded, then {an} is convergent. (3) If {an} converges and

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.

Answers

- 204 Then VnEN -1 2 - pan>=3(-13h) Faline] Laus in divergent but {ans is bounded since çan L Therefore given statement in fa2 then lim Cant bn )= atb; his there fore antbr tony conve rerger to atbu The refore given statement in True] Falne het land

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