# 2.71828183: The Number e Song

 Two point seven one eight two eight one eight three is approximately the value of the constant "e". The sum for n ranging from nought to infinity, of 1 on n factorial is e. With compound interest, the more frequently the compounding's performed you'll watch your balance grow to e. As the number of periods approaches infinity the limit of (one plus (one on n)) all to the n is e. Two point seven one eight two eight one eight three is approximately the value of the constant "e". It's one of five constants in The Identity e to the (i pi) plus one is zero, you'll see: Complex exponentiation links trigonometry with algebra, coz when you raise the magic number e to the i x, it's cos(x) plus an imaginary component with value sin(x), Euler said with glee! Two point seven one eight two eight blah blah is "e". The function e to the x is its own derivative. The natural logarithm is log to the base e. e's irrational, its digits don't repeat periodically, they continue infinitely and are probably distributed uniformly. Two point seven one eight three. Apologies to any digit-memorisers out there! (I do say "approximately equal to"...) Email: fmatrix at danielwedge dot com Feel free to play this in lectures etc, you have my permission (though I'd be interested to hear from you if you do!) Daniel Wedge 1 August 2010
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