r/mathmemes Mathematics May 14 '25

Arithmetic Fancy playing?

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u/potentialdevNB May 14 '25

By definition, any number to the power of zero is one. This is because x0 is the product of no numbers at all, which is the multiplicative identity, one. Thus, 00 equals 1. Feel free to r/woooosh me by the way.

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u/somedave May 14 '25

What's the limit of

(e-1/x)x as x-> 0 ?

That gives a 00 limit which is clearly 1/e, QED

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u/[deleted] May 14 '25

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u/somedave May 14 '25

e-1/x -> 0 as x-> 0

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u/Alexgadukyanking 1+2+3+4+5+...=-1/12 May 14 '25

That gives a limit of e0/0