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7.5. Prove the following:(a) lim n→∞ an = a = ⇒ lim n→∞ |an|=|a|. (b) limn→∞an=0...

7.5.

Prove the following:(a) lim n→∞ an = a = ⇒ lim n→∞ |an|=|a|. (b) limn→∞an=0 ⇐ ⇒ lim n→∞|an|=0

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