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Infinite series – An absolute and conditional convergence test to an alternating series with sin – Exercise 2849

Exercise

Determine if the following series is absolutely convergent, conditionally convergent or divergent.

\frac{\sin(\alpha)}{1}-\frac{\sin (2\alpha)}{4}+\frac{\sin (3\alpha)}{9}-\frac{\sin (4\alpha)}{16}+...

Final Answer


The series converges absolutely

Solution

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