Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.) (a) lim cos (n) (b) b, 4" lim b Justify your answer. O Use the Squeeze Theorem by considering the range of cosine. O Use the Quotient Rule to find the limit of each of the numerator and the denominator. Use L'Hopital's Rule to find a limit that does not have an indeterminate form. O Use the Povwer Rule on the numerator cosine.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.)
1
(a) a
4"
lim
cos?(n)
(b) b,
lim b.
Justify your answer.
O Use the Squeeze Theorem by considering the range of cosine.
Use the Quotient Rule to find the limit of each of the numerator and the denominator.
Use L'Hopital's Rule to find a limit that does not have an indeterminate form.
O Use the Power Rule on the numerator cosine.
Transcribed Image Text:Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.) 1 (a) a 4" lim cos?(n) (b) b, lim b. Justify your answer. O Use the Squeeze Theorem by considering the range of cosine. Use the Quotient Rule to find the limit of each of the numerator and the denominator. Use L'Hopital's Rule to find a limit that does not have an indeterminate form. O Use the Power Rule on the numerator cosine.
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