A quick pondering about the nature of the constant,
Because we can actually see the first few digits of e we can make inferences about the nature of infinity.
We see that e is calculated by
(1+1/n)^n as n goes to infinity. Let’s say that at n=4, the second decimal place is no longer affected by subsequent steps of n.
Write a program that will make a table of all the values for given n values. Good questions would be “when does e reach two?”