Question

Write a MATLAB script file to approximate the function f(x) = e^x with a Taylor series. The function f(x) = e^x can be approximated by the following Taylor series: e^x ≈ 1 + x + (x^2)/2! + (x^3)/3! + (x^4)/4! + ... Keep in mind that the "!" symbol denotes factorial. For example, the factorial of 4 = 4! = 1 * 2 * 3 * 4. MATLAB has a built-in factorial command that can be used. In a script file, prompt the user for the value of the exponent x as an integer (in terms of the function e^x). Then, with a "while" loop, calculate the approximate value of e^x using the above Taylor series. The output message should display "The approximate value of e^x is XX.XXXXXX", where XX.XXXXXX is the numeric value displayed to 6 decimal places. The output value should be correct (or exactly match your calculator's output of e^x) up to 6 decimal places.

          Write a MATLAB script file to approximate the function f(x) = e^x with a Taylor series. The function f(x) = e^x can be approximated by the following Taylor series: 

e^x ≈ 1 + x + (x^2)/2! + (x^3)/3! + (x^4)/4! + ...

Keep in mind that the "!" symbol denotes factorial. For example, the factorial of 4 = 4! = 1 * 2 * 3 * 4. MATLAB has a built-in factorial command that can be used.

In a script file, prompt the user for the value of the exponent x as an integer (in terms of the function e^x). Then, with a "while" loop, calculate the approximate value of e^x using the above Taylor series. The output message should display "The approximate value of e^x is XX.XXXXXX", where XX.XXXXXX is the numeric value displayed to 6 decimal places. The output value should be correct (or exactly match your calculator's output of e^x) up to 6 decimal places.

Added by Erin L.

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