MATHEMATICAL OPERATIONS WITH INFINITY - MATHEMATICS STACK EXCHANGE
Jan 1, 2021 Let us follow the convention that an expression with $\infty$ is "defined" (in the extended reals) if: when you replace each $\infty$ with any function/sequence whose limit is … From math.stackexchange.com
WHAT IS IMAGINARY INFINITY, - MATHEMATICS STACK EXCHANGE
May 14, 2017 The infinity can somehow branch in a peculiar way, but I will not go any deeper here. This is just to show that you can consider far more exotic infinities if you want to. Let us … From math.stackexchange.com
LIMIT WHEN ZERO DIVIDED BY INFINITY - MATHEMATICS STACK EXCHANGE
Sep 11, 2015 I know that infinity is not a real number but I am not sure if the limit is indeterminate. (Also, there are people who are saying contradictory things on internet) I know … From math.stackexchange.com
WHY IS $\\INFTY\\TIMES 0$ INDETERMINATE? - MATHEMATICS STACK …
Your title says something else than "infinity times zero". It says "infinity to the zeroth power". It is also an indefinite form because $$\infty^0 = \exp(0\log \infty) $$ but $\log\infty=\infty$, so the … From math.stackexchange.com
WHAT IS THE RESULT OF - MATHEMATICS STACK EXCHANGE
Infinity does not lead to contradiction, but we can not conceptualize $\infty$ as a number. The issue is similar to, what is $ + - \times$, where $-$ is the operator. The answer is undefined, … From math.stackexchange.com
Dec 18, 2012 $\begingroup$ "Or that the infinity of the even numbers is the same as that of the natural numbers." - not necessary. This depends on your definitions. I would argue the infinity … From math.stackexchange.com
WHAT EXACTLY IS INFINITY? - MATHEMATICS STACK EXCHANGE
Infinity is not a natural number, or a real number: there should be no confusion about that. We can use infinity as the upper limit of an integral as shorthand to say that all the reals greater than … From math.stackexchange.com
LIMITS - INFINITY DIVIDED BY INFINITY - MATHEMATICS STACK EXCHANGE
Dec 25, 2017 When we use straightforward approach, we get $$ \frac{\infty+1}{\infty} = \frac{\infty}{\infty} $$ In the process of investigating a limit, we know that both the numerator … From math.stackexchange.com
ONE DIVIDED BY INFINITY? - MATHEMATICS STACK EXCHANGE
Similarly, the reals and the complex numbers each exclude infinity, so arithmetic isn't defined for it. You can extend those sets to include infinity - but then you have to extend the definition of … From math.stackexchange.com
CALCULUS - WHAT IS INFINITY DIVIDED BY INFINITY? - MATHEMATICS STACK ...
Aug 11, 2012 Essentially, you gave the answer yourself: "infinity over infinity" is not defined just because it should be the result of limiting processes of different nature. I.e., since such a … From math.stackexchange.com
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