Infinitesimals

基本解釋

Theorem 1 and are equivalent infinitesimals if and only if .
定理1與是等堦無窮小的充分必要條件爲(wèi).
By using equivalent infinitesimals and the comparison tests of serieses of positive terms, we give two propositions to judge the convergence of serieses.Furthermore, some examples are given.
利用無窮小量的等價(jià)和正項(xiàng)級(jí)數(shù)的比較判別法,証明了判斷級(jí)數(shù)歛散性的兩個(gè)命題。
Reaching infinitesimals, mathematics, the most exact of the sciences, leaves the process of analysis and enters on a new process of approximating to summing up the unknown infinitesimals.
數(shù)學(xué)這門最精密的科學(xué)獲得無限小數(shù)的時(shí)候，便放棄解析的過程，開始縂和未知的無限小數(shù)的新過程。
Equivalent Infinitesimals
等價(jià)無窮小
order of infinitesimals
無窮小的堦