How do I find the number of terms required to get a given accuracy. For example a text says that to get the sum \zeta (2)=\sum_{k=1} \frac{1}{n^{2}} to 6 d.p. of accuracy, I need to add 1000 terms. How do in find it for a general series?

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- January 8th 2013, 05:18 PMmathematicaphoenixNumber of terms needed to get a given accuracy
How do I find the number of terms required to get a given accuracy. For example a text says that to get the sum \zeta (2)=\sum_{k=1} \frac{1}{n^{2}} to 6 d.p. of accuracy, I need to add 1000 terms. How do in find it for a general series?