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The series is .
The series is in the form of alternating series.
The series is converges if and .
Here and .
and .
The approximate sum of the series with an error of less than .
and .
If the series is convergence .
Hence .
Substitute .
.
Therefore,the total number of terms required to approximate sum of the series with an error of less than are terms.
The total number of terms required to approximate sum of the series with an error of less than are terms.
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