(adsbygoogle = window.adsbygoogle || []).push({}); It asks "use remainder estimate for integral test" to find series accurate to 3 dec?

1. The problem statement, all variables and given/known data

It says "Use the Remainder Estimate for the Integral Test to find the sum of the following series to three decimal places of accuracy."

[itex]\sum^{\infty}_{n=1}[/itex] [itex]\frac{1}{n^{3}}[/itex]

2. Relevant equations

3. The attempt at a solution

OK, so my question is as follows. If it says "to 3 decimal places of accuracy," what am I finding exactly? Am I finding the sum for error<0.001? or is it error<0.0005? I ask this because an error of 0.0005 could change the round and change the third decimal place.

As for the rest of the question, I know how to do it.

Thanks!

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# Homework Help: It asks use remainder estimate for integral test to find series accurate to 3 dec?

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