Write a program in a script file that determines ex by using the Taylor series representation.
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The function f(x) = ex can be represented in a Taylor series by: ex = n = 0 xnn! Write a program in a script file that determines ex by using the Taylor series representation. The prof=gram calculates ex by adding terms of the series and stopping when the absolute value of the term that was added last is smaller than 0.0001. Use a while-end loop, but limit the number of passes to 30. If in 30th pass the value of the term that is added is not smaller than 0.0001, the program stops and displays a message that more than 30 terms are needed. Use the program to calculate e2, e-4, and e21.
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