I am trying to design and write a C code for this problem. I also need to understand all loop invariants and the time comlixity for the code. I would really really apriciate it if someone can help me and explain it to me step by step.

Thank you in advance.

implerment a Maclaurin series evaluator for the exponential function (e). The Maclaurin series for this function is rT n! n=0 your code should ask for a real value of x and a relative error as a convergence criterion. It should output the estimated value of e and what order the series required to converge to the specified error