12(-1 1. Consider the series E (2n + 1)m 12 1 n (b) (2 marks) It is possible to show that the sum of the series 2% converges to the number it. (You do NOT need to prove this, but it can be done somewhat easily using a Taylor series expansion of arctan x.) is arr, in other words, the series Suppose you want to use a partial sum of this series to estimate the value of at to an accuracy of within 0.0001. Would using the first 3 terms of the series be enough to ensure you get an accuracy of within 0.0001? (3 terms means the terms where n = 0,1,2,3,....,7.) {a} {3 marks} Use any test for convergence/divergence to Show that the series converges