$\"\"$

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The series is $\"\"$ . \ \

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Test for convergence or divergence: \ \

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The series is $\"\"$ , let $\"\"$ is the $\"\"$ partial sum: \ \

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$\"\"$ . \ \

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If the sequence $\"\"$ is convergent $\"\"$ exists as a real number, then the series $\"\"$ is called the convergent. \ \

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The number $\"\"$ is called the sum of the series. \ \

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If the sequence $\"\"$ is divergent, then the series is called the series is scalled the divergent. \ \

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$\"\"$

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Consider the telescoping sum is $\"\"$ . \ \

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$\"\"$

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$\"\"$

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$\"\"$ .

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The $\"\"$ partial sum $\"\"$ .

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Find $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Since the $\"\"$ is a real number, the series $\"\"$ is convergent. \ \

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The series is convergent and $\"\"$ .

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$\"\"$

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The series is convergent and $\"\"$ .