n2 Write an inequlity comparing 3 with n3 | for n > 1. n5 + 3 (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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Question
n?
Write an inequlity comparing
3
with
1
for n > 1.
n3
|
n5 + 3
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
inequality:
00
n°
3
Use this inequality to draw a conclusion about the series
n5 + 3
n=1
00
The series diverges by the Direct Comparison Test because >,
1
E also diverges.
n3
n=1
00
It is not possible to draw a conclusion about the convergence of the series because >
diverges.
n3
n=1
00
1
The series converges by the Direct Comparison Test because also converges.
n3
n=1
Transcribed Image Text:n? Write an inequlity comparing 3 with 1 for n > 1. n3 | n5 + 3 (Express numbers in exact form. Use symbolic notation and fractions where needed.) inequality: 00 n° 3 Use this inequality to draw a conclusion about the series n5 + 3 n=1 00 The series diverges by the Direct Comparison Test because >, 1 E also diverges. n3 n=1 00 It is not possible to draw a conclusion about the convergence of the series because > diverges. n3 n=1 00 1 The series converges by the Direct Comparison Test because also converges. n3 n=1
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