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- 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
- limits - Infinity divided by infinity - Mathematics Stack Exchange
In the process of investigating a limit, we know that both the numerator and denominator are going to infinity but we dont know the behaviour of each dynamics
- 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 the arithmetic operators, to cope with that extended set And then, you need to start thinking about arithmetic differently
- What is imaginary infinity, - Mathematics Stack Exchange
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 then turn to the complex plane The most common compactification is the one-point one (known as the Riemann sphere), where a single infinity ∞~ ∞ is added
- Is 1 + infinity - Mathematics Stack Exchange
So new_infinity would just become "1 + infinity" They argue that you can just substitute in x x for infinity and have the statement 1 + x> x 1 + x> x which is true (but I don't think you can substitute a variable in for infinity)
- Why is $\\infty\\times 0$ indeterminate? - Mathematics Stack Exchange
In particular, infinity is the same thing as "1 over 0", so "zero times infinity" is the same thing as "zero over zero", which is an indeterminate form Your title says something else than "infinity times zero"
- Types of infinity - Mathematics Stack Exchange
I understand that there are different types of infinity: one can (even intuitively) understand that the infinity of the reals is different from the infinity of the natural numbers Or that the infi
- Is $0^\\infty$ indeterminate? - Mathematics Stack Exchange
Is a constant raised to the power of infinity indeterminate? I am just curious Say, for instance, is $0^\\infty$ indeterminate? Or is it only 1 raised to the infinity that is?
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