>>13623517Please, everyone stand back.
The number of this function is infinitesimal and approaches it's limit 0. It is Lim x->inf (1/x).
That number just before it's limit subtracted from 1 is .99999999....
The limit (1-1/x)^x is .999999999...^10000000...
This equals 1/e.
If .9999999... were equal to 1, then the limit as x goes to infinity for (1-1/x)^x would be the same as 1^x because 1/x goes to 0.
If that was true then the limit as x goes to infinity for (1+1/x)^x would also be equal to 1^x and (1-1/x)^x. It's not. It's e.
So if .9999999... Is equal to 1, then .9999999... Is equal to 1.00000....1 because 1.000000...1 is equal to 1.
This cannot be the case.