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- infinity - Is $\infty$ undefined? - Mathematics Stack Exchange
Infinity does not exist in the typical real number line: it is a construct that is contained in the extended real number line, which is used in certain fields of mathematics, especially limit calculus
- infinity - Sum of infinite divergent series - Mathematics Stack Exchange
I have learned that positive infinity plus negative infinity isn't equal to zero, it's an indeterminate form However what happens if we subtract two infinite divergent series $\\displaystyle{\\sum_{
- What is infinity divided by infinity? - Mathematics Stack Exchange
I know that $\infty \infty$ is not generally defined However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as-big infinity, for
- How many different sizes of infinity are there?
24 It's pretty straightforward to say that there is an infinite number of different sizes of infinity, but then I thought, "What size of infinity is that?" My thoughts are that the number of unique cardinalities is equivalent to the number of real numbers, based on the fact that the cardinalities can always be ordered by increasing size
- What happens when you apply LHospitals rule and still get infinity . . .
Maybe just confusion on my part over trying to evaluate a limit If after taking the derivative then you still end up with infinity over infinity I assume you can apply the rule recursively? So d
- Does the concept of infinity have any practical applications?
Absolutely, infinity has countless (:P) practical applications Here's one way to think about it: do negative numbers have any practical applications? I mean you can't really have a negative amount of anything, can you? You can't have negative five apples If your bank balance is negative, that's just another way of saying you owe the bank a (positive amount of) money, rather than the other
- definition - Is infinity a number? - Mathematics Stack Exchange
For infinity, that doesn't work; under any reasonable interpretation, $1+\infty=2+\infty$, but $1\ne2$ So while for some purposes it is useful to treat infinity as if it were a number, it is important to remember that it won't always act the way you've become accustomed to expect a number to act
- p-Norm with p $\\to$ infinity - Mathematics Stack Exchange
p-Norm with p $\to$ infinity [duplicate] Ask Question Asked 9 years, 7 months ago Modified 4 years, 7 months ago
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