I would like to codes to be commented so that I can understand how the answers came from Just make it simple and working 100% correctly please? Thanks

1. Purpose The purpose of this assignment is to write an algorithm, in the C programming language, to calculate the value of a given function f at a particular value of its argument x, by using a McLaurin series expansion. 2. The Function of the Program Your programme should take in a value x. This will be a real variable, given to the appropriate number of decimal places. The function will return the value f(x), also a real number, to a level of accuracy managed by your program. Your function will either be given or will be the solution to a given differential equation. 3. Method Your programme should calculate the value of f(x) based purely on the McLaurin series, without using any of the functions available in the C library. It will therefore only use the basic arithmetic operations in C; addition, subtraction multiplication and division. You can use loops, logical statements or function calls as you see fit. 4. Marking Your marks will be calculated out of a total of 100 as follows. a) You will receive 40 marks for correctly understanding and implementing the McLaurin series itself in your program. The bulk of these marks will be earned by having a correct sequence of calculations. b) You will receive 20 marks if your program successfully compiles and works correctly. This will be checked against a range of values for which the correct answer is known. c) You will receive a mark out of 20 for the efficiency of your calculation, that is, the extent to which you minimise the number of arithmetical operations that have to be done. d) You will be marked out of 20 for how well your program terminates with the required level of accuracy. Be aware that you may be asked to explain the structure and sequence of calculations of your program. 5. Your assigned function The function you are asked to implement is given here: f(x) = loge(1 + x)