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**Kristen111111111111111111** I know how to prove by using the definition , if a sequence {a_{n}} is increasing and bounded above then Limit of {a_{n}} when n goes to infinity = sup{a_{n}|n belongs to positive integers} .

But how can I deduce, if a sequence {a_{n}} is decreasing and bounded below then Limit of {a_{n}} when n goes to infinity = inf{a_{n}|n belongs to positive integers} from the above proved theorem ?

I have proved those 2 by using the definition only. But I have a problem in deducing the 2nd one by using the 1st theorem. Can somebody please help me with it?