(a) Use the binomial series to expand 1 - x2 07+7 ) 3 . 5 . 7 . ... .(2n + 1) x20 20 . n! n = 1 00 07 +7 ) 2 . 4 . 6 . ... .(2n) x20 20 . n! n = 1 00 07 +7 ) 1 . 3 . 5 . ... .(2n - 1) 20 . n! n = 1 00 07 + 7 ) 1 . 3 . 5 . ... .(2n - 1) x20 20 . n! n = 1 00 07 + 7 ) 3 . 5 . 7 . ... .(2n + 1) 20 . n! n = 1 (b) Use part (a) to find the Maclaurin series for 7 sin-1(x). 00 0 7x + 7 ) 2 . 4 . 6 . ... .(2n) x2n + 1 n = 1 (2n + 1) . 20 . n! 0 7x + 7 3 . 5 . 7 . ... .(2n + 1) xn+1 n = 1 (n + 1) . 27 . n! 0 7x + 7 1 . 3 . 5 . ... .(2n - 1) x20 + 1 20 . n! n = 1 0 7x + 7 _ 1 . 3 . 5 . ... .(2n - 1) x20 + 1 n = 1 (2n + 1) . 20 . n! 0 7x + 7 1 . 3 . 5 . ... .(2n - 1) xn + 1 n = 1 (n + 1) . 20 . n