For 1213, use some form of technology to determine the first four terms in the Legendre series expansion of the given function on the interval (1, 1). Plot the given function and the approximations S1 = a0P0, S3 = a0P0 + a1P1 + a2P2, S5 = a0P0 + a1P1 + a2P2 + a3P3 + a4P4 on the interval (1, 1). Comment on the convergence of the Legendre series to the given function for 1 < x < 1. f (x) = x(1 x2)ex .

Week 3 Tuesday, September 5, 2010:47 AM Tuesday, September 5, 2017 11:34 AM Tuesday, September 5, 2017 11:43 AM Thursday, September 7, 2017 10:58 AM...