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No, I am but one man operating such content.
To acknowledge and educate. Some of you hold information that is quite valuable, which is a gift that never stops giving.
Also why does 1+x+x^2/2!+x^3/3!+...+x^n/n!+... approach the exponential function as you add more and more terms?
No, every moment had purpose.
"Those who exercise their intellect."
Perhaps because it pertains to its exponents.
Negative.
it's the Mentat mantra from the Dune books.
Mentats were human computers used by fiefdoms to calculate strategy.
Sapho is the juice created from special plants used to enhance mentat calculation ability.
you claiming that you are an intellectualist got me thinking about it.
It's more so that each term is the antiderivative of the previous term, so when you derive the whole thing, each term gets replaced by the previous one, and as n goes to infinity you end up always having a term to replace the one you lose; thus, the function is its own derivative. It's the same property of the exponential function, e^x. The derivative of a function a^x will be proportional to itself, more specifically it'll be itself times a certain constant, and e is defined to be the number such that this constant is exactly 1.
This is the link between e^x and this infinite polynomial. It makes it much more reasonable and much less coincidental that valuating the infinite polynomial at x=1 outputs e.
Then again most of this makes no sense for someone who doesn't know about derivatives beforehand, but I'd gladly explain explain the gist of it if anyone wants to know.
this guy is one of those people.
Also, at least *a* person would find such information valuable, so explain freely.
it just screams 'faux-intellectualist.'
Do you have trouble communicating, or have any usual interests, or experience social difficulties?