Video: 0 0 1

YouTube Channel:BriTheMathGuy

0/0 is undefined but can be defined as infinity.

YouTube Channel:Eddie Woo

It's you multiply down until you get down to whatever one right and then you start right now.

YouTube Channel:Quantum Girl

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YouTube Channel:MrGee Math

0^0 is not well defined but often defined as 1 for convenience, e.g. to maintain consistency in binomial theorem.

YouTube Channel:bprp math basics

1 divided by 0 is undefined because no matter what number you multiply by 0, you always get 0.

YouTube Channel:Destined Emporium

Proof of 0^0 = 1: Rewrite as 0^(1-1), then expand using exponent laws, simplify to 0/0, and use the difference of squares formula.

YouTube Channel:Matescium

In this video I'm gonna explain you why does it happen one of our Zoological Infinity through a very simple explanation.

YouTube Channel:bprp math basics

0 divided by 0 is undefined, not 1, because it can have infinitely many answers.

YouTube Channel:Dr Sean

Zero factorial is defined as 1 to simplify factorial calculations and make formulas work for all cases, including combinations, Taylor polynomials, and the gamma function.

YouTube Channel:blackpenredpen

Convention: 0^0 = 1 in power series. It simplifies calculations and makes the function more convenient to represent.

YouTube Channel:Dr. Trefor Bazett

Mathematicians disagree on basic definitions like 0^0 (indeterminate, undefined, 1), whether 0 is a natural number, and if 1/x is continuous.

YouTube Channel:Simply Logical

0/0 is not equal to 1 because there is no unique answer. Multiplying any number by 0 equals 0, so there is no single quotient for 0/0.