Although two infinitesimals in the same change process tend to zero at the same time, the speed at which they tend to zero is sometimes different, even very different. In practical problems, it is sometimes necessary to discuss this speed that tends to zero.

If lim(β/α)=0, it is said that "β is an infinitesimal higher than α". It means that β→0 is faster than α→0 in a certain process (such as x→x0 or x→∞).

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Infinite or infinite, the mathematical symbol is ∞. It comes from the Latin "infinitas", which means "no boundary". It has different concepts in theology, philosophy, mathematics and daily life. Usually the use of this word does not involve its more professional definition.

In theology, for example, in the works of theologian Dunce Scott, the infinite energy of God is applied to the unconstrained, not the infinite. In philosophy, infinity can be attributed to space and time. In theology and philosophy, infinity is infinity, and many articles have discussed infinity, absoluteness, God and Zeno paradox.

In mathematics, infinity is related to the following topics or concepts: mathematical limit, Alev number, class in set theory, Dai Dejin's infinite group, Russell paradox, hyperreal number, projective geometry, extended real number axis and absolute infinity.

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