2. Multi-Step Series E sin(n) n2 а. b. E sin(n) n=1 n² – 5 n=1 -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2)a,b

3)b,c

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1. Determine whether each of the following series is Absolute Convergent, Conditional Convergent,
or Divergent:
(-1)"
sin(4n)
а.
е.
5n +1
n=1
4n
n=1
2
f. E
b.
n
n!
n=1
n=1
3n
n
E(-1)".
g. (-1)".
с.
n2 + 4
4n In n
n=1
n=2
(-2)"
d. Σ
h.
nn
n=1
n=1
2. Multi-Step Series
sin(n)
sin(n)
а.
b.
n2
n2 – 5
n=
n=
3. Evaluate the following series:
n
1
7
а.
с.
4n
n=1
11
n=.
n
1+ 2"
d.
3n
n=0
n=1
2 /7
b.
Transcribed Image Text:1. Determine whether each of the following series is Absolute Convergent, Conditional Convergent, or Divergent: (-1)" sin(4n) а. е. 5n +1 n=1 4n n=1 2 f. E b. n n! n=1 n=1 3n n E(-1)". g. (-1)". с. n2 + 4 4n In n n=1 n=2 (-2)" d. Σ h. nn n=1 n=1 2. Multi-Step Series sin(n) sin(n) а. b. n2 n2 – 5 n= n= 3. Evaluate the following series: n 1 7 а. с. 4n n=1 11 n=. n 1+ 2" d. 3n n=0 n=1 2 /7 b.
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