Question 1 (a) Determine whether the following series converges or diverges, give reasons for your answer. 8 πT" (2n + 1)! n=2 n² - 1 (b) Determine the convergence property of the series: nở n+1 n=1 (c) Determine the interval of convergende for the power series 8 (-1)"x" 2n In(n) n=2

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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Question 1
(a) Determine whether the following series converges or diverges, give reasons for your
answer.
8
πT"
(2n + 1)!
n=2
n² - 1
(b) Determine the convergence property of the series:
nở n+1
n=1
(c) Determine the interval of convergende for the power series
8
(-1)"x"
2n In(n)
n=2
Transcribed Image Text:Question 1 (a) Determine whether the following series converges or diverges, give reasons for your answer. 8 πT" (2n + 1)! n=2 n² - 1 (b) Determine the convergence property of the series: nở n+1 n=1 (c) Determine the interval of convergende for the power series 8 (-1)"x" 2n In(n) n=2
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