Question 1 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)=2* a. The first nonzero term of the Maclaurin series is 2 . o That's incorrect. The second nonzero term of the Maclaurin series is - 2x Find a pattern using the first four nonzero terms. The third nonzero term of the Maclaurin series is x . . [PLs OK The fourth nonzero term of the Maclaurin series is = Ex . b. Write the power series using summation notation. 2% = E ('m'm) k=0 | Question 2: Suppose f(0) =2, f'(0)=2, f'(0) =6, and f(a)(O) =12. Find the third-order Taylor polynomial for f centered at 0 and use it to approximate f(0.2). The third-order polynomial is p5(x) = . (Simplify your answer.)