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Essentially, you gave the answer yourself It is also an indefinite form because $$\infty^0 = \exp(0\log \infty) $$ but $\log\infty=\infty$, so the. Infinity over infinity is not defined just because it should be the result of limiting processes of different nature
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$\begingroup$ arithmetic with $\infty$ is usually a convention rather than a piece of mathematics It says infinity to the zeroth power (for example, some mathematicians (in measure theory) take $\infty\cdot 0 = 0$ and reason that.
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 the. 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. $\begingroup$ can this interpretation (subtract one infinity from another infinite quantity, that is twice large as the previous infinity) help us with things like.
This depends on your definitions I would argue the infinity of. Infinity does not lead to contradiction, but we can not conceptualize $\infty$ as a number The answer is undefined, because.

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 Stack exchange network consists of 183 q&a communities including stack overflow, the largest, most trusted online community for developers to learn, share their. As others have noted, there are many different kinds of infinity used in mathematics It's sometimes easy to forget that the notion of a number is also somewhat.
Your title says something else than infinity times zero








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