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2. For f(x) = et and h in the range (10-1,10-2, ..., 10-9), compute f'(0) (the exact value is obviously e = 1) using the

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2. For f(x) = et and h in the range (10-1,10-2, ..., 10-9), compute f'(0) (the exact value is obviously e = 1) using the MATLAB function from 2. Make a table which lists h in the first column, the one-sided approximation in the second column, the error in the one-sided approximation in the third column, the centered approximation in the fourth column, and the error in the centered approximation in the fifth column. Report h in scientific notation which a minimum number of displayed digits. Report errors in absolute value using scientific notation keeping 3 digits past the decimal. Approximations should be reported in fixed-point non-scientific notation with a full field of digits (say 14 past the decimal point). Plot both sets of errors versus h on the same log-log plot. Your plot should include a legend. What do you observe

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