# 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

Coming soon…

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