btw, the change from x = 1.0000 to x = 1.0001 is analagous to using a thermometer which isn't accurate to the fourth decimal place. Changing that TEN THOUSANDTH little bit was enough to blow up the end result. If we went 12 more decimal places down the line (far down enough to be in the realm of measurement error!) we'd still see the same end result; crazy differences.
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