Todd's Evil Limit - A Hint
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We can write the number e as approximately 2.71828..., but that doesn't help us, much.
Our buddy, Taylor, has shown us that we can write the number
e as EXACTLY 1 + 1/1! + 1/2! + 1/3! + 1/4! + ...
That fact should come in VERY handy, eh?
You can obtain a complete solution to this enigma by clicking
on this picture of Frank Gorshin: 
Click here
to go to Doug's AP page
Click here to go to Doug's homepage