2. (a) In Matlab, for the function f(x) = 2x+x³ calculate Taylor Polynomials of orders 2 and 5 at the point a = -1 and a
Posted: Tue May 24, 2022 10:02 am
2. (a) In Matlab, for the function f(x) = 2x+x³ calculate Taylor Polynomials of orders 2 and 5 at the point a = -1 and at the point a = 0. Use 'taylor' or 'taylortool' command. Include a screenshot of your command window showing (1) your command, and (2) Matlab's answer for all four considered cases. (b) Use the integral test to determine whether the sum 1 k4 k=1 converges. Include your explanation and working in the handwritten answers. (c) Use Matlab to evaluate the sum from Point 2(b). Interpret the result in terms of convergence/divergence. Include a screenshot of your command window showing (1) your command, and (2) Matlab's answer. Include your explanation in the handwritten answers.