How Many Terms Of The Series Do We Need To Add In Order To Find The Sum Of The I

How many terms of the series do we need to add in order to find the sum of the indicated accuracy?Let ∑_(n=3)^∞ ((-1)^(n+1))/n^4 (error<0.001).i.e. the sum from n=3 to infinity, basically i need to find a value for n which will give me the indicated accuracy.can anyone help? I dont really understand it at all to be honest….Thank you in advance.Also.

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