5. (5 points) Find the MacLaurin series for g(x) = 'e using the known MacLaurin series for f (z) = e" = >n! n = 0 (4 point each) Find the radius and interval of convergence for the following power series. Don't forget to check the endpoints of a finite interval! 6. 5 ( 3 - 2) "n! n= 1 An 7 . 3n+1 8. (5 points) The Fourier series for f (x) - 2x from -2