The Maclaurin series for f(x) = sin(x ) is S ( - 1)" (20 ) 2n+ 1 7 = C +... 3! 5! 7! n = (2n + 1) ! By transforming the series for sin (a), find the first 4 nonzero terms sin(3x) of the Maclaurin series for T(a) = + Written compactly, this series is T (x ) = > n= 0 Using your new series lim T(x) = x -0