The value e^x can be approximated by the sum 1 +x+(x^2)/2 + (x^3)/3…+x^n/n write a program that takes a value x as input and outputs this sum for n taken to be each of the values 1 to 100. the progr

The value e^x can be approximated by the sum 1 +x+(x^2)/2 + (x^3)/3…+x^n/n write a program that takes a value x as input and outputs this sum for n taken to be each of the values 1 to 100. the program should also input e^x calculated using the predefined function exp. the function exp is a predefined function such that exp(x) returns an approx. to the value e^x. the function exp is in the library w/ the header file cmath. your program should repeat the calculation for new values of x until the user says she/he is through. use variables of type double to store the factorials or your are likely to produce integer flow (or arrange your calc 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.