Problem 3 (10 marks) For the result of Question 2, you showed that Fourier series for the function f(x) = ex on [0,2) is

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Problem 3 10 Marks For The Result Of Question 2 You Showed That Fourier Series For The Function F X Ex On 0 2 Is 1 (84.96 KiB) Viewed 47 times

Problem 3 (10 marks) For the result of Question 2, you showed that Fourier series for the function f(x) = ex on [0,2) is given by ∞ -1-2-² 1 f(x)= = - + (1 - e²^²) Σ; (соs nлx + nл sin nлx) n²π² + 1 n=1 Write a MALAB script that will calculate the Fourier series for N terms, and then plot the function f(x) = ex and the N-term Fourier series on the same plot. Do this for the following values of N and for x = 0 to 2: a) N = 3 b) N = 5 c) N = 10 d) N = 100 e) N = 1000 Submit a copy of your script and the five plots. Also, explain what is happening at the points x = 0, 2.