write a program with c language

1-(30p) Harlan A. Brothers and John A. Knox discovered that as the value of x gets larger, the value of the expression (2x + 1)* 2x - 1 gets closer and closer to e. Write a program that evaluates this expression for x - 1, 2, 3, and so until the absolute difference between the expression's value and the real value of "e" is less than 0.000001 "Display the value of x" that causes your loop to exit along with both the final approximation of e and the real value of "e" . Show 6 decimal places. (Real e-2.718281) [Do not use math.h library. For example, if you need to calculate power of number, write your own function