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Approximate the sum of the alternating series [tex]\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n^4}[/tex] by the 40th partial sum and estimate the error in this approximation.

I know how to calculute the sum of the alternating series by 4th or 5th partial sum. I don't think this problem wants me to calculate till 40th partial sum.

How can I calculate like 40th partial sum or 100th partial sum?

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# Homework Help: Estimating the sum of an alternating series by the 40th partial sum

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