Let a be a positive constant. Determine the first three nonzero terms of the Taylor series for 1 (1 + ax)4 centered at x = 0. Show all your work. Your answer may contain a. f(x): - What is the radius of convergence of the Taylor series for f(x)? Your answer may contain a. Determine the first three nonzero terms of the Taylor series for 1 = 1 dx, (1 + ax) 4 centered at t = 0. Show all your work. Your answer may contain a. g(t) = The degree-2 Taylor polynomial of the function h(x), centered at x = 1, is P(x) = a + b(x - 1) + c(x 1). What can you say about the values of a, b, c? You may assume a, b, c are nonzero. Circle your answers. No justification is needed.