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 …

Aug 11, 2012 · 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 …

Definition: Infinity refers to something without any limit, and is a concept relevant in a number of fields, predominantly mathematics and physics. The English word infinity derives from Latin …

Aug 13, 2016 · Another way "infinity" is used is to describe the size of sets. There are an infinite number of integers, and also an infinite number of even integers, and also an infinite number …

Dec 25, 2017 · 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.

Apr 28, 2016 · Can this interpretation ("subtract one infinity from another infinite quantity, that is twice large as the previous infinity") help us with things like limn→∞(1 + x/n)n, lim n → ∞ (1 + x …

Dec 18, 2012 · 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 …

"Infinity times zero" or "zero times infinity" is a "battle of two giants". Zero is so small that it makes everyone vanish, but infinite is so huge that it makes everyone infinite after multiplication. In …

This resolves your problem because it shows that 1 ϵ 1 ϵ will be positive infinity or infinite infinity depending on the sign of the original infinitesimal, while division by zero is still undefined. This …

In "the end," infinity does not have an end" you have given all coins away and so the balance is 0 0. The difference between the two scenarios is, in the second the order of the coins is …