III. For each of the following series, determine whether it is convergent or divergent. Justify your answer briefly (1-2 sentences). +o0 +o0 (-1)" n2 – 1 (a) E (c) > un where sn = u1 + ... + un = n! n² + 1 n=1 n=1 +00 (b) E - n -1-n n=1

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Chapter2: Second-order Linear Odes
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III. For each of the following series, determine whether it is convergent or divergent. Justify your
answer briefly (1-2 sentences).
(-1)"
( a) Σ
n2
(c) > Un where s, = u1 + ... + Un
n
1
n!
n² +
n=1
n=1
(b) E(-)
1
T1-n
n=1
Transcribed Image Text:III. For each of the following series, determine whether it is convergent or divergent. Justify your answer briefly (1-2 sentences). (-1)" ( a) Σ n2 (c) > Un where s, = u1 + ... + Un n 1 n! n² + n=1 n=1 (b) E(-) 1 T1-n n=1
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