(2) Determine whether the following series converge. Rigorously justify your answers (using the convergence tests from the lecture). (d) Σ n=1 Σ IM 8 n=1 n (b) 2 n² + n=] շո n!' (e) (-1)+1 n=1 ∞ շո 1+2n n=0 1 n! 3n+2' (4) Σ (2n)!* n=1
(2) Determine whether the following series converge. Rigorously justify your answers (using the convergence tests from the lecture). (d) Σ n=1 Σ IM 8 n=1 n (b) 2 n² + n=] շո n!' (e) (-1)+1 n=1 ∞ շո 1+2n n=0 1 n! 3n+2' (4) Σ (2n)!* n=1
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) Determine whether the following series converge. Rigorously justify your answers
(using the convergence tests from the lecture).
(d)
Σ
n=1
Σ
IM 8
n=1
n
(b)
2
n²
+
n=]
շո
n!'
(e) (-1)+1
n=1
∞
շո
1+2n
n=0
1
n!
3n+2'
(4) Σ
(2n)!*
n=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7f27c73-756c-4a47-8ea7-79b047cfb8fe%2F9c45bb38-3173-489f-a169-86132cdbb64c%2Fh5jpknb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(2) Determine whether the following series converge. Rigorously justify your answers
(using the convergence tests from the lecture).
(d)
Σ
n=1
Σ
IM 8
n=1
n
(b)
2
n²
+
n=]
շո
n!'
(e) (-1)+1
n=1
∞
շո
1+2n
n=0
1
n!
3n+2'
(4) Σ
(2n)!*
n=1
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