Ex.java

This program computes an estimate of the value of the mathematical value e^x, which is defined, for a given exponent x, and for n > 0 terms of a series, as:

As n is made greater, the estimate of e^x becomes more precise. If the computation is done with double computations, then after some number of additional terms (some value of n), the available precision of the double representation will be reached, and no further improvement will be seen. However, for large values of x, it may not be possible to obtain an estimate, due to the result being too large.

The value computed should be a Java floating-point value (please use double ). The program should first ask the user for an integer value n 0, which indicates the number of terms to be used in the evaluation of the estimate. If the value entered is less than zero, a message must be given the user, and the user allowed to try again. If the value for the number of terms is 0, the program should just exit.

If the number of terms value is greater than 0, then the user should be asked to enter a value for the exponent x. The exponent may be any double value, positive or negative, zero or fractional.

As before, make the program continue to loop requesting new values of n and x to compute new estimates, until the user asks for a zero number of terms to be used.

Some values of the exponent will prevent the program getting correct results. If the correct value cannot be computed, tell the user that is the problem, and keep asking for another number of terms and an exponent value until an acceptable number (or 0) is entered. (Note that if the exponent, x == 1, then the value obtained should be for just the value of e itself. It should always be possible to obtain an estimate for this value, for any number of terms.)

Print out your estimates of the value of e raised to the given power to at least 15 significant places.