Decide whether the following series an is absolutely convergent, conditionally convergent or divergent. Carefully justify your answer. an sin n (n + 2)(n+3) + 2n + 5n 2n +9n'

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Decide whether the following series
1 an is absolutely convergent,
conditionally convergent or divergent. Carefully justify your answer.
an
=
sin n
(n + 2)(n+3)
+
2n +52
2n + gn
Transcribed Image Text:Decide whether the following series 1 an is absolutely convergent, conditionally convergent or divergent. Carefully justify your answer. an = sin n (n + 2)(n+3) + 2n +52 2n + gn
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