(c) Use the Sandwich Rule to show that each of the following sequences converge as n→ ∞, and find their limits. (i) an - 2 cos(n)+3n n (ii) bn = 3n²+2n(-1)"+1 2n²-n+1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.4: Improper Integrals
Problem 37E
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(c) Use the Sandwich Rule to show that each of the following sequences converge as
n→ ∞, and find their limits.
(i) an =
2 cos(n)+3n
n
(ii) bn
=
3n²+2n(-1) +1
2n² n+1
Transcribed Image Text:(c) Use the Sandwich Rule to show that each of the following sequences converge as n→ ∞, and find their limits. (i) an = 2 cos(n)+3n n (ii) bn = 3n²+2n(-1) +1 2n² n+1
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