Question 1 Complete parts a through c for the function below. f(x)=3sin 3x a. Find the first four nonzero terms of the Maclaurin series for the given function 27 4 The first nonzero term is |9x - 2 X That's incorrect. The Maclaurin series expansion of a function f(x) is shown below. Determine the first four nonzero terms of the series. ' 10 nj 0,10, .,fo)x"*'" f(x) = f(0) +f'(O)x + X 3 Question 2 a. Use the definition of a Taylor series to find the first four nonzero terms of the Taylor series for the given function, centered at a. b. Write the power series using summation notation. c. Determine the interval of convergence of the series fx)=(-3+x2)"1:a=0 That's incorrect. The Taylor series of a function f(x), centered at a, is shown. Determine the first four 1 2 ' nonzero terms of the series. 1 a. The first four nonzero terms of the Taylor series are | - 5 = gx (Type an expression using x as the variable.) ""(a)(x _a)Z 7' (a)(x - 5}3 f'"]la)(x a) + ot + eee 2! 3! nl f(x)=f(a)+f'(a)(xa)+