Listen It can be easily shown that the series _ (-1 ) n+1 (3n-1)2 satisfies all requirements of the Alternating Series Test. (a) Use a calculator to evaluate the partial sum $3 of this series. Give the answer rounded to four decimal places. (b) Estimate the error of using $3 as an approximation to the sum of the series, i.e. estimate the remainder R3. Recall that the remainder estimate of the Alternating Series Test gives an inequality the form "Rn