. Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)"¯ CONVERGES n=1 converges or diverges. . Determine if the series (-1) 3n =CONVERGES n4 + n=1 converges or diverges. . Consider the power series Note: Σ (2.x – 1)3". + 1 Use the previous item to find - nt n=1 its interval of convergence.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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[41] Consider the power series in number 3 and use the previous item to find its interval of convergence.

1. Use the Root Test to determine if the series
(-1)" 2/n
en? (2n2 – 1)"
CONVERGES
-
n=1
converges or diverges.
2. Determine if the series
3n
(-1)*" =CONVERGES
+ 1
n=1
converges or diverges.
3. Consider the power series
Note:
Use the previous item to find
its interval of convergence.
(2.x – 1)3".
-
n4 + 1
n=1
Transcribed Image Text:1. Use the Root Test to determine if the series (-1)" 2/n en? (2n2 – 1)" CONVERGES - n=1 converges or diverges. 2. Determine if the series 3n (-1)*" =CONVERGES + 1 n=1 converges or diverges. 3. Consider the power series Note: Use the previous item to find its interval of convergence. (2.x – 1)3". - n4 + 1 n=1
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