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Infinity refers to something without any limit, and is a concept relevant in a number of fields, predominantly mathematics and physics In a world focused on temporary pleasures and achievements, this symbol calls us to invest in things that last forever—our relationship with god, the souls of others, and the building of his kingdom. The english word infinity derives from latin infinitas, which can be translated as unboundedness , itself derived from the greek word apeiros, meaning endless .
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I know that $\infty/\infty$ is not generally defined The infinity symbol also reminds us of our eternal perspective However, if we have 2 equal infinities divided by each other, would it be 1
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Similarly, the reals and the complex numbers each exclude infinity, so arithmetic isn't defined for it
And then, you need to start thinking about arithmetic differently. Infinity plus infinity ask question asked 13 years, 11 months ago modified 10 months ago Infinity does not lead to contradiction, but we can not conceptualize $\infty$ as a number You never get to the infinity by repeating this process
Limit means that you approach the infinity but never actually get to it because it's not a number and cannot be reached The expression $\infty \cdot 0$ means strictly $\infty\cdot 0=0+0+\cdots+0=0$ per se I don't understand why the mathematical community has a difficulty with this. Why is it that e raised to the power of negative infinity would equal 0 instead of negative infinity
I am working on problems with regards to limits of integration, specifically improper integrals.
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 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 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 \mathbb r$ is represented by the sequence $1,2,3,\ldots$. We would like to show you a description here but the site won’t allow us.
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