6) (a) Find the 4th degree Taylor polynomial for f(x) = sin x centered at (b) Find the 6th-degree Taylor polynomial for f(x) = In x centered at 1. 7) The power series Σ n=0 n! is the Maclaurin series for e*. (a) Find a power series expansion for e³. (b) Express red xe dr as a power series. 8) Suppose that f is a function for which f(n) (3) = for f at 3. 6 The (-00,00) (-1)" (n+1)! Find the Taylor series 2n 42