(a) Prove the convergence or divergence of each of the following series: 1! +a! +3! + +n! 20+1 2+1 6 2²+1 23+1

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 2
(a) Prove the convergence or divergence of each of
the following series":
1!
+ 2!
+ 3!
+n
+
2+1
-
6
2²+1
20+1
1
1
+ (-1)^-' +..
an-1
3
5
(b) Show that the interval of convergence of the series
gn-1x²-1 is given by
-1 ≤x≤ 1
nói (n-3)2
름
52
+1
23+1
HILO
Transcribed Image Text:Question 2 (a) Prove the convergence or divergence of each of the following series": 1! + 2! + 3! +n + 2+1 - 6 2²+1 20+1 1 1 + (-1)^-' +.. an-1 3 5 (b) Show that the interval of convergence of the series gn-1x²-1 is given by -1 ≤x≤ 1 nói (n-3)2 름 52 +1 23+1 HILO
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