Answer Happy

a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the power series using summation notation. c. Determine the interval of convergence of the series. f(x)=e−3x a. The first nonzero term of the Maclaurin series is The second nonzero term of the Maclaurin series is The third nonzero term of the Maclaurin series is 29​x2. The fourth nonzero term of the Maclaurin series is −29​x3. b. Write the power series using summation notation. e−3x=k=0∑∞​∣ c. The interval of convergence is (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed.)