$\"\"$

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The series is $\"\"$ .

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The function is $\"\"$

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Apply integral on each side. \ \

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$\"\"$

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Consider $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ . \ \

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Substitute $\"\"$ and $\"\"$ in the integral. \ \

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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If the value of $\"\"$ , then the series is diverges.

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$\"\"$

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Integral Test.

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$\"\"$ .

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If $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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The series is converges if $\"\"$ .

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If $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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The series is diverges if $\"\"$ .

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$\"\"$

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The series $\"\"$ is converges if $\"\"$ .