Error computing limits as x -> inf

[dbbotkin]

Maybe I'm missing something, but in the problem posed, it is 'x' that is being pushed to infinity and raising 'x' to large powers in both the numerator and denominator just turns the problem into (-9/-7) * 1 more quickly. Solvable by inspection, I think. Possibly, that was the point of the question?

There is still some confusion as to whether the Prime has a glitch in its algorithm or not.

It is also possible that someone decided that E59 (or some other large number) was close enough to infinity for the 50G calculator.

We should remember that modern computers are digital devices and have limitations on the magnitude and precision of their calculations. CAS helps when solving equations exactly and RPN is quicker for some purposes, but they are both just tools for the mind.