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Infinite series – An absolute and conditional convergence test to an alternating series with a square root – Exercise 2872

Exercise

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

\sum_{n=1}^{\infty} {(-1)}^n\frac{\sqrt{3n-4}}{1+\sqrt{5n+17}}

Final Answer


The series diverges

Solution

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