(4) Given the series . (8 points) M=1 This series can be shown to converge using the integral test. (you don't need to show) (a) Approximate the sum of the series by using S, . (b) Estimate the error involved in the above approximation. (c) Use the fact that s,, + f(x)dxsSss, + f(x)dxwith n=4 to obtain a better estimate n+1 of the sum of the series. (d) Estimate the error in using the approximation to S from part (c)