?(a) Use the sum of the first 10 terms to estimate the sum of the series
Chapter 9, Problem 39(choose chapter or problem)
(a) Use the sum of the first 10 terms to estimate the sum of the series \(\sum_{n=1}^{\infty} 1 / n^2\) How good is this estimate?
(b) Improve this estimate using (3) with n=10.
(c) Compare your estimate in part (b) with the exact value given in Exercise 36 .
(d) Find a value of n that will ensure that the error in the approximation \(s \approx s_n\) is less than 0.001.
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