- #1
DivGradCurl
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Suppose you know that [tex]\left{ a_n \right}[/tex] is a decreasing sequence and all its
terms lie between the numbers 5 and 8. Explain why the sequence has a limit. What can
you say about the value of the limit?
My Answer:
This sequence has a limit because it is both bounded and monotonic, as it is stated in the
Monotonic Sequence Theorem. The minimum value of this particular limit must be 5.
My question:
Is that thoroughly answered? Did I miss anything?
terms lie between the numbers 5 and 8. Explain why the sequence has a limit. What can
you say about the value of the limit?
My Answer:
This sequence has a limit because it is both bounded and monotonic, as it is stated in the
Monotonic Sequence Theorem. The minimum value of this particular limit must be 5.
My question:
Is that thoroughly answered? Did I miss anything?