Find the interval of convergence AND radius of convergence of the series Σ. n=1 n4n Using the Ratio Test, we get an+1 lim n-00 an Use this result to find values r for which the series is convergent and to find the radius of convergence. Second, test the endpoints of the interval of convergence using the Alternating Series Test and/or the p-series test. Show your work.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Calculus 2 Question:

Find the interval of convergence AND radius of convergence of the series
Σ.
n=1
n4n
Using the Ratio Test, we get
an+1
lim
n-00
an
Use this result to find values r for which the series is convergent and to find the radius of convergence.
Second, test the endpoints of the interval of convergence using the Alternating Series Test
and/or the p-series test. Show your work.
Transcribed Image Text:Find the interval of convergence AND radius of convergence of the series Σ. n=1 n4n Using the Ratio Test, we get an+1 lim n-00 an Use this result to find values r for which the series is convergent and to find the radius of convergence. Second, test the endpoints of the interval of convergence using the Alternating Series Test and/or the p-series test. Show your work.
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