Question 2 Determine whether the following series are convergent or divergent and state clearly the test you applied. (a) (-1)" n³ +5 2n² -3+7n (c) Σ:

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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Question 2
Determine whether the following series are convergent or divergent and state clearly the
test you applied.
-3+7n²
(d) Σn(Inn)s
Question 3
(a) Find the radius and the centre of convergence and sketch the circle of convergence
of the series
(-1-21)".
(b) Discuss the behaviour of the series at the point where = 4+4
(c) Discuss the behaviour of the series at the point where == 2i.
(a) (-1)"
n³+5
2n²
(b) Σ²+3
Transcribed Image Text:Question 2 Determine whether the following series are convergent or divergent and state clearly the test you applied. -3+7n² (d) Σn(Inn)s Question 3 (a) Find the radius and the centre of convergence and sketch the circle of convergence of the series (-1-21)". (b) Discuss the behaviour of the series at the point where = 4+4 (c) Discuss the behaviour of the series at the point where == 2i. (a) (-1)" n³+5 2n² (b) Σ²+3
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