Write a script that will loop through values of n until the

Question

1. Identify the problem statement
2. Define the inputs and outputs to each problem
3. Show a pseudo code design of the solution
4. Show that you have tested your MATLAB code appropriately

Problem The inverse of the mathematical constant e can be approximated as follows

1/e ≈ (1-1/n)ⁿ

Write a script that will loop through values of n until the difference between the approximation and the actual value is less than 0.0001. The script should then print the built in value of e^-1 and the approximation to four decimal places, and also print the value of n for such accuracy.