Is the sequence {an} bounded above by a number? If yes, what number? Enter a number or enter DNE. Is the sequence {an} bounded below by a number? If yes, what number? Enter a number or enter DNE. Select all that apply: The sequence {an} is A. unbounded. B. bounded above. C. bounded. D. bounded below.

Question

Anne Schaefer

Mathematics

17 October, 16:52

Is the sequence {an} bounded above by a number? If yes, what number? Enter a number or enter DNE. Is the sequence {an} bounded below by a number? If yes, what number? Enter a number or enter DNE. Select all that apply: The sequence {an} is A. unbounded. B. bounded above. C. bounded. D. bounded below.

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Levi · Answer 1

The sequence {an} is A. unbounded

Step-by-step explanation:

The sequence {an} is unbounded.

we say a sequence is bounded if and only it is bounded both above and it is also bounded below. clearly the sequence {an} is an unbounded sequence.

The sequence {an} is bounded if there is a number M>0 such that |an|≤M for every positive n. Every unbounded sequence is divergent

The sequence{an}. is an unbounded sequence, because it has no a finite upper bound