$\"\"$

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Integral Test :

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If $\"\"$ is positive, continuous and decreasing for $\"\"$ and $\"\"$ then $\"\"$ and $\"\"$ either both converge or both diverge.

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$\"\"$

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The integral series is $\"\"$ .

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Let the function be $\"\"$ .

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Find the derivative of the function.

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ is positive, continuous and decreasing for $\"\"$ .

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$\"\"$ satisfies the conditions of Integral Test.

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Integral Test is applicable for the series.

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$\"\"$

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Integral Test:

\

Consider $\"\"$ .

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$\"\"$ .

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Consider integral $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Therefore, the series $\"\"$ is diverges.

\

\

The series $\"\"$ is diverges.