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So here is a quiz: If you wanted to compute E to the power of pi--E to the power of 3.14 and so on--
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which of these expressions would be the best approximation? One plus one over 31,416 to the power of 10,000?
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One plus one over 10,000 to the power of 3.1416? Or one plus 3.1416 over 10,000 to the power of 10,000?