Tags: ti-35
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The answer is clearly not the exact answer of e^(1.000000001) -
Turns out the question relates to an old bug in the Texas Instruments calculator series (TI-35).
Info: http://www.datamath.org/Story/LogarithmBug.htm
The answer expected was produced by entering e^(1.000000001) in the TI-35 series, which is 2.7191928
Did you have to buy a Ti 35 or were you able to replicate the bug in modern software? How exactly did the Ti 35 evaluate the limit incorrectly when calculating exp(x).=?