$\"\"$

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The series is $\"\"$ .

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Consider $\"\"$ and $\"\"$ .

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Limit comparision test :

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Let $\"\"$ for all $\"\"$ .

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Suppose that $\"\"$ and $\"\"$ are series with positive terms.

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If $\"\"$ where $\"\"$ is a finite number and $\"\"$ then either both series converge or both series

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diverge.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Therefore series $\"\"$ is depends on the convergence of $\"\"$ .

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Series $\"\"$ is diverges since it is a $\"\"$ series with $\"\"$ .

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Thus, $\"\"$ is also divergent.

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$\"\"$

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$\"\"$ is divergent.