Everyone of us know about the famous euler's number, which is e, which is aproximately 2.7182818...........(as far as i cam remember)...which is used for many things in calculus...(adsbygoogle = window.adsbygoogle || []).push({});

Well, i was wondering where the heck does e come from and i realize after searching in the web, that e is the limit as x aproaches to the infinite, of the function f(x)=(1+1/x)^x or f(x)=(1+x)^(1/x). And this is awesome! Because i had no idea e was a limit! lol

Anyway, next thing i was wondering about was: what if the '+' sinal in the function f(x)=(1+1/x)^x gets switched to an '-'? The function would become: f(x)=(1-1/x)^x.

Here are the functions: http://www.geocities.com/just_dre/e3e.GIF

Well, i graphed both functions and as expected, f(x)=(1+1/x)^x aproachs to e. But the other function (the grey one) has a different limit which is aproximately 0,3678794409875026009331610590813.......

My question is: does this new irrational constant have any meaning? If f(x)=(1+1/x)^x has, why can't f(x)=(1-1/x)^x?

Hope you can help me...^^

iMiguel

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# What i call the second Euler's Number

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