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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
  • 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 exactly is infinity? - Mathematics Stack Exchange
    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 infinitas, which can be translated as " unboundedness ", itself derived from the Greek word apeiros, meaning " endless "
  • definition - Is infinity a number? - Mathematics Stack Exchange
    For infinity, that doesn't work; under any reasonable interpretation, $1+\infty=2+\infty$, but $1\ne2$ So while for some purposes it is useful to treat infinity as if it were a number, it is important to remember that it won't always act the way you've become accustomed to expect a number to act
  • What is imaginary infinity, $i\lim\limits_ {x \to \infty} x = i\infty$?
    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 $\tilde\infty$ is added
  • Is one infinity bigger than another? - Mathematics Stack Exchange
    There are indeed different types of infinity, some infinities are bigger than others For example, there are more real numbers than natural numbers However, the two sets you asked about have the same cardinality Look up for "cardinality of a set"
  • derivative of x^x^x. . . to infinity? - Mathematics Stack Exchange
    I am a 12th grade student, and I am afraid that in realistic terms this question might not even make sense because of the infinities that have to be dealt with However, in my attempt to calculate
  • I have learned that 1 0 is infinity, why isnt it minus infinity?
    This obviously makes no sense - we say that 0 0 is "undefined" because there isn't really an answer Likewise, 1 0 is not really infinity Infinity isn't actually a number, it's more of a concept If you think about how division is often described in schools, say, number of sweets shared between number of people, you see the confusion
  • statistics - Degrees of freedom: when to use infinity? - Mathematics . . .
    I assumed this, because of my sample size being $42$, with the closes number being $40$ I checked the answers I was given and they seem to use infinity for the degrees of freedom, my question is: when are we suppose to the infinity and when do we use the actual rows degrees of freedom numbers?
  • Why is $1^ {\infty}$ considered to be an indeterminate form
    This "$1^\infty$" (in regards to indeterminate forms) actually means: when there is an expression that approaches 1 and then it is raised to the power of an expression that approaches infinity we can't determine what happens in that form Hence, indeterminate form





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