Consider the following series. i 1 3 n = 1 n (a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.) sm=|:l (b) Improve this estimate using the following inequalities with n = 10. (Round your answers to six decimal places.) CE W 3n+f f(X) dX 5 5 5 5n+f f(X)dX n n (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in the approximation 5 z 5\" is less than 0.0001