Let f(x) = sin(x). Let p(x), P3(x), p5(x) be the Taylor polynomials of degree 1, 3, and 5 for f(x) and the point of approximation 0. 1. What are p(x), P3(x), p5(x)? 2. What are p2n-1(x) and p2n(x) for integer n 1? 3. Compare the values of f(x), p(x), p3(x), p5(x) for x = 7. , Let p2n-1(x) be the formula that you have computed large should the degree 2n - 1 be chosen so that |sin(x) - P2n-1(x)| 0.001 T for all - x ? Check your result by evaluating the resulting p2n-1 (Hint: Taylor's remainder theorem.) -1(x) at x = 7/2. How