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Write a matlab program to determine the result for the problem below. Evaluate e-* using two series approximation x2 e-x = 1 x++ x3 + 3! 2 and 1 e- = = 1+x+ +x+ + 3! and compare with the true value of x. Use n significant figures to determine the stopping criterion Es. Evaluate each series and compute approximate value and approximate estimate error Eq as terms are added. Programming Requirements: 1. Implement modularization 2. Two user inputs x and n 3. At least three modules which includes a main module, module for the first series and module for the second series 4. Provide a re-run (try again) program segment 5. Output must be in tabular form that shows that column for no. of terms, approximate value, and approximate estimate error. 6. Also show the comparison of the true value and approximate value after the last iteration. Sample Output: Refer to the output below. Since there are two series approximations, your output must have two tables. (the sample output only shows one) Enter x and sf : 1.3*pi, 9] True Value : 0.587785252 Error criterion : 0.000000050 Result Ea (%) Terms 1 1.000000000 100.000000000 2 0.555867802 79.898888997 0.588743370 5.584023513 4 0.587769964 0.165610123 5 0.587785404 0.002626816 6 0.587785251 0.000025926 7 0.587785252 0.000000174 8 0.587785252 0.000000001 Approximate Error : 0.000000001 is less than Error Criterion : 0.000000050 No. of Terms : True Value : 0.587785252292473 VS Approx. Value: 0.587785252292455 Try Again[y]? |