Experimental analysis. Run experiments to determine the relative costs of Math.exp() and the methods from EXERCISE 1.3.38 for computing ex: the direct method with nested for loops, the improvement with a single for loop, and the latter with the loop-continuation condition (term > 0). Use trial-and-error with a command-line argument to determine how many times your computer can perform each computation in 10 seconds.
EXERCISE 1.3.38
Exponential function. Assume that x is a positive variable of type double. Write a code fragment that uses the Taylor series expansion to set the value of sum to ex = 1 + x + x2/2! + x3/3! + ... .
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