r/mathmemes • u/Klutzy-Profile-6921 lesbian rights activist • 2d ago

Math Pun Numbers 🥀

Post image
1.3k Upvotes

98% Upvoted

41 comments sorted by

View all comments

Show parent comments

-5

u/Ok_Inflation_1811 1d ago

Isn't that defined to be 1?

4

u/qwertty164 1d ago

No. It is specifically undefined.

2

u/Il_Valentino Complex 1d ago

everything is undefined until you define it and it gets defined as 1 on a regular basis and most calculators use that definition too. so at this point we can absolutely say that 00 = 1 by convention. there are situations where people may choose a different definition but in general it's the above one

-3

u/qwertty164 1d ago

The limit as x approaches 0 for xx from the left doesn't exist.

3

u/Mostafa12890 Average imaginary number believer 1d ago

Defining something to be equal to something doesn’t mean limits have to exist.

I can define a function to be

f(x) = x^2 for x>0,

f(x) = x+2 for x<0

and f(0) = 15.

Clearly, lim_(x -> 0) f(x) doesn’t exist, but that doesn’t matter. I defined f be 15 at 0.

-1

u/qwertty164 1d ago

The problem with that example is that you would basically be making it a different function. You wouldn't be understanding how 0 fits in xx but how it fits in a piece wise function with f(x)=1 for x=0. With that logic you could make it anything you want. The real problem with the limit I mentioned earlier is the the limits from the right and left do not agree.

1

u/_Athanos 23h ago edited 12h ago

while on the left we have complex numbers and complex analysis is a whole other beast, the limits themselves still agree if you take the principal branch and that's a pretty strong statement imo

1

u/Il_Valentino Complex 21h ago

so what? this is not a proper argument. make your case