Consider the following series. [infinity] 1 n5 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 = 1.036907 Correct: Your answer is correct. (b) Improve this estimate using the following inequalities with n = 10. (Round your answers to six decimal places.) sn + [infinity] f(x) dx n + 1 ≤ s ≤ sn + [infinity] f(x) dx n 1.036908 Incorrect: Your answer is incorrect. ≤ s ≤ 1.036909 Incorrect: Your answer is incorrect. (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 0.000001. n > 0 n > 22 n > 5 n > −22 n > 13