(7n3 +1 6n3 + 3 Consider the series Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". n=1 lim an = L n00 Answer: L = 49/36 What can you say about the series using the Root Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: Convergent v Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: Absolutely Convergent

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 71E
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Question
7n + 1
Consider the series
Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE".
6n3 + 3
n=1
lim lan
L
n00
Answer: L =
49/36
What can you say about the series using the Root Test? Answer "Convergent", "Divergent", or "Inconclusive".
Answer: Convergent
Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent".
Answer: Absolutely Convergent
Transcribed Image Text:7n + 1 Consider the series Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". 6n3 + 3 n=1 lim lan L n00 Answer: L = 49/36 What can you say about the series using the Root Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: Convergent Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: Absolutely Convergent
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