Originally Posted by
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?