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Write a MATLAB script to calculate the following Taylor series expansion: y = 1/(1 + 2x^2) 1/1 + 2x^2 = Sigma ^infinity _n = 0

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Write a MATLAB script to calculate the following Taylor series expansion: y = 1/(1 + 2x^2) 1/1 + 2x^2 = Sigma ^infinity _n = 0 (-2x^2)^n = Sigma ^infinity _n = 0 (-1)^n 2^n x^2n a) The code shall include the calculation of the true relative error, while the format long will be used for calculating y =1/(1 + 2 times 0.5^2) by MATLAB as the true solution Compare the solution for n = 10 with the solution of n = 50 by calculating the ratio of the two solutions b) Plot the function y = 1/(1 + 2x^2) for -0.7

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