> e is the unique real number satisfying 1 + x <= e^x for all x.
I think if you replace e by 2e, this still holds. Therefore your definition of e is not unique.
I think if you replace e by 2e, this still holds. Therefore your definition of e is not unique.
(2e)^(-0.1) = 0.844243...
The former is not <= the latter.