$\"\"$

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The series is $\"\"$ .

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Limit comparison 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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Here $\"\"$ and $\"\"$ .

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Find $\"\"$ .

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$\"\"$

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Let $\"\"$ .

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As $\"\"$ then $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$ is a harmonic series and divergent series.

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Since $\"\"$ is divergent $\"\"$ is also divergent. $\"\"$

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$\"\"$ is also divergent.