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Can someone please explain how to write this program in C++. I'm having trouble understanding how the exp(x) works. Thanks! It's my first C++ class

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Can someone please explain how to write this program in C++. I'm having trouble understanding how the exp(x) works. Thanks! It's my first C++ class and I'm in Chapter 3, can you keep the explanation simple :-)
7. The value e to the x can be approximated by the sum: 2 cn n! 2! 3! Write a program that takes the value x as input and outputs theis sum for n taken to be each of the values 1 to 100. The program should also output e "x calculated using the predegfined funcion exp. the funcionexp is a predefined funciton such that exp(x) returns an approximation to the value x"x. the funcion exp is in the libtrayr with the header file cmath. Your program should repeat the calculation for new values of x until the user says they are through. Use variables of type double to store the factorials or you are likely to produce integer overflows (or arrange your calculations to avoid any direct calculation of factorials ). 100 lines of output might not fit comfortably on your screen. Output the 100 output values in a format that will fit all 100 values on the screen. For example , you might output 10 lines with 10 values on each line

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