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Help answer this question below.
Exp(infintiy)
is that anything like 7 life sentences opposed to 1 life sentence?
Infinity is not a number so none of the three expressions in your questions are defined. You can't compare magnitudes of things that are undefined.
You can ask, however, how the expressions x^2, sqrt(x), or e^x compare as x approaches infinity? Then there's no doubt that e^x will always be greatest.
They are all equal
http://en.wikipedia.org/wiki/Extended_real_number_line
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You're reading Which is greater ∞² or √∞ or exp(∞)
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