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Consider the following series. ∞ 1 n4 n = 1 (a) Use the sum of the...

Consider the following series. ∞ 1 n4 n = 1 (a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.) s10 = 0.082036 Incorrect: Your answer is incorrect. (b) Improve this estimate using the following inequalities with n = 10. (Round your answers to six decimal places.) sn + ∞ f(x) dx n + 1 ≤ s ≤ sn + ∞ f(x) dx n ≤ s ≤ (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in the approximation s ≈ sn is less than 0.00001. n > −32 n > 5 n > 15 n > 0 n > 32

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