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: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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→ ∞
Transcribed Image Text: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→ ∞
Expert Solution
Step 1: Define the problem

The given series sum from n equals 1 to infinity of a subscript n space where a subscript n equals s e c open parentheses 3 n close parentheses

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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
Transcribed Image Text: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
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