(Q6) Determine which of the following series are convergent. You may use the convergence and divergence of standard basic series and standard tests but you should state clearly which results you are using. (a) (-1)"n² 4n³ (b) n³2n n²3n (c) (d) (e) n=1 n=1 n=1 n=1 n=1 ܕܝ ܕ 3n²+1 2n²+3 2 (n!)² n² (2n!) i

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(Q6) Determine which of the following series are convergent. You may use the
convergence and divergence of standard basic series and standard tests
but you should state clearly which results you are using.
(a)
(-1)"n²
4n³
(b)
n³2n
n²3n
(c)
(d)
(e)
n=1
n=1
n=1
n=1
n=1
√n
3n²+1
2n²+3
2 (n!)²
n² (2n!)
i
Transcribed Image Text:(Q6) Determine which of the following series are convergent. You may use the convergence and divergence of standard basic series and standard tests but you should state clearly which results you are using. (a) (-1)"n² 4n³ (b) n³2n n²3n (c) (d) (e) n=1 n=1 n=1 n=1 n=1 √n 3n²+1 2n²+3 2 (n!)² n² (2n!) i
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