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I know that $\infty/\infty$ is not generally defined One can (even intuitively) understand that the infinity of the reals is different from the infinity of the natural numbers However, if we have 2 equal infinities divided by each other, would it be 1

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Can this interpretation (subtract one infinity from another infinite quantity, that is twice large as the previous infinity) help us with things like $\lim_ {n\to\infty} (1+x/n)^n,$ or is it. I understand that there are different types of infinity 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

Thus both the square root of infinity and square of infinity make sense when infinity is interpreted as a hyperreal number An example of an infinite number in $ {}^\ast. Similarly, the reals and the complex numbers each exclude infinity, so arithmetic isn't defined for it Infinity divided by infinity ask question asked 7 years, 9 months ago modified 7 years, 9 months ago

While considering limiting problems there are some situations when we have argument tending to infinity of sine or cosine function My book writes it as an oscillating. 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.