Determine if the sequence is monotonic and if it is bounded. na1 Select the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. OA. (a) is monotonic because the sequence is nonincreasing. The sequence has a least upper bound when n = but is unbounded because it has no lower bound. (Simplify your answer.) OB. (a) is not monotonic. The sequence is unbounded with no upper or lower bound. OC. (a) is not monotonic. The sequence is bounded by a greatest lower bound of and a least upper bound when n (Simplify your answers.) OD. (a) is monotonic because the sequence is nondecreasing. The sequence has a greatest lower bound of but is unbounded because it has no upper bound. (Simplify your answer.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine if the sequence is monotonic and if it is bounded.
2"5"
an
=
n! nal
Select the correct answer below and, if necessary, fill in the answer box(es) to complete your choice.
OA. (a) is monotonic because the sequence is nonincreasing. The sequence has a least upper bound when n =
but is unbounded because it has no lower bound.
(Simplify your answer.)
OB. (a) is not monotonic. The sequence is unbounded with no upper or lower bound.
OC. (a) is not monotonic. The sequence is bounded by a greatest lower bound of
when n. (Simplify your answers.)
and a least upper bound
OD. (a) is monotonic because the sequence is nondecreasing. The sequence has a greatest lower bound of
but is unbounded because it has no upper bound.
(Simplify your answer.)
Transcribed Image Text:Determine if the sequence is monotonic and if it is bounded. 2"5" an = n! nal Select the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. OA. (a) is monotonic because the sequence is nonincreasing. The sequence has a least upper bound when n = but is unbounded because it has no lower bound. (Simplify your answer.) OB. (a) is not monotonic. The sequence is unbounded with no upper or lower bound. OC. (a) is not monotonic. The sequence is bounded by a greatest lower bound of when n. (Simplify your answers.) and a least upper bound OD. (a) is monotonic because the sequence is nondecreasing. The sequence has a greatest lower bound of but is unbounded because it has no upper bound. (Simplify your answer.)
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