1. We know the Maclaurin series expansion for cos(x) is given by cos(x) = Σ(-1)" r2n (2n)! ! and that it converges Vx ER. (a) Use the Maclaurin series for cos() to express cos()dz as an infinite series, and state 0 the radius of convergence. (b) Use the Alternating Series Estimation Theorem to determine an upper bound of the error in using your series to estimate the value of the definite integral if you truncate it after N terms. (You may assume that the conditions of the Alternating Series Test are satisfied.)
