Implement the Euler's number in C++, C programming language.

Task 6 (3 points) Write a program in C++ or C that calculates the value of the number Euler's number with a given accuracy of eps > 0. Hint: The number Euler's number = 1 + 1/1! +1/2! + ... + 1! + ... = 2.7172 ... can be calculated as the sum of elements of the sequence x_0, x_1, x_2, where x_0 = 1, x_1= 1+ 1/1 !, x_2 = 1 + 1/1! +1/2 !, ..., the summation continues as long as the condition | x_ (i + 1) - x_i> = eps) is valid