Determine whether the following series are convergent or divergent. Do only 4 parts; you must use a different test for each. State clearly which test you are using. 2" n! а. b. E (n + 2)! sin? n n3 n=2 1 n= 2n с. n2 +1 d. nn n= Σ -n² 22n е. пе f. 3п+1 n=1 n=1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine whether the following series are convergent or divergent. Do only 4 parts; you must use
a different test for each. State clearly which test you are using.
2"n!
n
а.
b.
(n + 2)!
sin? n
n3
1
(2)2n
с.
d.
n2 + 1
n=
22n
f. E
е.
ne
3n+1
n=1
n=1
WIWPWI
Transcribed Image Text:Determine whether the following series are convergent or divergent. Do only 4 parts; you must use a different test for each. State clearly which test you are using. 2"n! n а. b. (n + 2)! sin? n n3 1 (2)2n с. d. n2 + 1 n= 22n f. E е. ne 3n+1 n=1 n=1 WIWPWI
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