$\"\"$

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The series is $\"\"$ .

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Estimate the error using Remainder estimate for the integral test.

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Equation $\"\"$ : $\"\"$ .

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

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Subtract the three sides of the in equality by $\"\"$ .

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$\"\"$ .

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$\"\"$ is the difference between the actual sum and the partial sum, which is called remainder $\"\"$ and the remainder is to be less than $\"\"$ .

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$\"\"$

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Since we want $\"\"$ but $\"\"$ .

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Since $\"\"$ . \ \

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$\"\"$

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Since $\"\"$ is an integer, so $\"\"$ has to be atleast $\"\"$ .

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$\"\"$

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The sum of series is $\"\"$ .

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$\"\"$

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The sum of series is $\"\"$ .