$\"\"$

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The series is $\"\"$ .

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The corresponding function of theseries is $\"\"$ .

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The function $\"\"$ is positive and decresing in the interval $\"\"$ . \ \

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Equate the $\"\"$ coefficients and constant terms. \ \

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

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$ \ \

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Integral test: \ \

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Find $\"\"$ . \ \

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Substitute $\"\"$ .

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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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$\"\"$

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$\"\"$ . \ \

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The integral $\"\"$ is convergent. \ \

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Since the integral is convergent, the series $\"\"$ is convergent. \ \

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$\"\"$ \ \

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The series $\"\"$ is convergent.