Not really, only if you don't recalibrate every so often... but this can happen in any kind of growth. Even linear growth with unequal coefficients diverges after some amount of time, exponential growth just gets there faster.
This is so wrong. The ratio between exp(x+ϵ) and exp(x) for even ϵ arbitrarily close to zero is infinity in the limit of large x. There is nothing like it with any polynomial growth for any exponent. The ratio between (x+ϵ)^p and x^p for arbitrarily large p is 1 in the limit of large x, for any ϵ.
Another sign that people don't get exponential growth, even if they think they do.
