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  • Limits at Infinity
    To compute $\displaystyle {\lim_ {x \to \infty} \frac {f (x)} {g (x)}}$, we need to figure out which of $f (x)$ and $g (x)$ is growing the fastest We also need to know which part of $f (x)$ is growing the fastest, so we can compare it to the fastest-growing part of $g (x)$
  • 1. 6: Limits Involving Infinity - Mathematics LibreTexts
    We will do so by first adding up a finite list of numbers, then take a limit as the number of things we are adding approaches infinity Surprisingly, this sum often is finite; that is, we can add up an infinite list of numbers and get, for instance, 42
  • Big O notation - Wikipedia
    For purposes of Computational complexity theory, Big notation is used for an upper bound on [the "order of magnitude" of] all 3 of those: the size of the input [data stream], the amount of [execution] time required, and the amount of [memory] space required
  • Infinitesimals and their orders | Math Bites
    It does not make sense to talk about the speed of one infinitesimal, but it does make sense to talk about whether two related infinitesimals (as the ones considered above) approach zero at a comparable speed





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