Please solve and show all work. Consider the series∞lim an =n→∞n=1an where an = sec (3n).Find lim an. Enter DNE if the limit does not exist.n→ ∞

Answered: Consider the series lim n→∞ n=1 an = an…

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Calculus

Consider the series lim n→∞ n=1 an = an where an = Find lim an. Enter DNE if the limit does not exist. n→∞ sec(3n).

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.

Chapter4: Calculating The Derivative

Section4.4: Derivatives Of Exponential Functions

Problem 23E: Find derivatives of the functions defined as follows. fz=2z+e-z22

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Question

Please solve and show all work.

Consider the series
∞
lim an =
n→∞
n=1
an where an = sec (3n).
Find lim an. Enter DNE if the limit does not exist.
n→ ∞

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Follow-up Questions

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Follow-up Question

Does this

The series diverges.
The series converges.
The series might converge or might diverge.

Consider the series
n=1
lim an =
n→ ∞
an where an
DNE
=
Find lim an. Enter DNE if the limit does not exist.
n→∞
sec(3n).
Based on the divergence test (aka nt-term test), which of the following is true?
O The series diverges.
O The series converges.
O The series might converge or might diverge.
Part 2 of 2

Solution

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