Find the Maclaurin series (a 0) for f(x) = e2x by computing the following: (Hint: Don't forget the chain rule!) f(z) = ez f(0) =-- f'() = f"(0) = f'(z) = j" (z) = So the sum of the first four terms in the Maclaurin series is: In general: f(n)(0) = o0 In sigma notation the Maclaurin series for f(x) = ez is Σ n-0 Use the Maclaurin series you found for f(x) = e2z to find a power series representation for the function g(a) z. (What are you plugging in for r? What are you multiplying by?)