翻訳と辞書 Words near each other ・ One-pocket ・ One-pot synthesis ・ One-pound Gospel ・ One-Punch Man ・ One-repetition maximum ・ One-Roll Engine ・ One-room school ・ One-satang coin ・ One-seventh area triangle ・ One-Sheet Document ・ One-shot (comics) ・ One-shot deviation principle ・ One-shot learning ・ One-sided ・ One-sided argument ・ One-sided limit ・ One-sided overhand bend ・ One-spot moray eel ・ One-spot puller ・ One-star rank ・ One-state solution ・ One-Step ・ One-stop career centers ・ One-striped opossum ・ One-syllable article ・ One-T ・ One-Test wonder ・ One-third hypothesis ・ One-Third of a Nation ・ One-time authorization code Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク One-sided limit ： ウィキペディア英語版 One-sided limit In calculus, a one-sided limit is either of the two limits of a function ''f''(''x'') of a real variable ''x'' as ''x'' approaches a specified point either from below or from above. One should write either: :$\backslash lim\_f(x)\backslash$ or $\backslash lim\_\backslash ,f(x)$ or $\backslash lim\_\backslash ,f(x)$ or $\backslash lim\_\; a\}f(x)$ for the limit as ''x'' decreases in value approaching ''a'' (''x'' approaches ''a'' "from the right" or "from above"), and similarly :$\backslash lim\_f(x)\backslash$ or $\backslash lim\_\backslash ,\; f(x)$ or $\backslash lim\_\backslash ,f(x)$ or $\backslash lim\_\; a\}f(x)$ for the limit as ''x'' increases in value approaching ''a'' (''x'' approaches ''a'' "from the left" or "from below") The two one-sided limits exist and are equal if the limit of ''f''(''x'') as ''x'' approaches ''a'' exists. In some cases in which the limit :$\backslash lim\_\; f(x)\backslash ,$ does not exist, the two one-sided limits nonetheless exist. Consequently, the limit as ''x'' approaches ''a'' is sometimes called a "two-sided limit". In some cases one of the two one-sided limits exists and the other does not, and in some cases neither exists. The right-sided limit can be rigorously defined as: : Similarly, the left-sided limit can be rigorously defined as: : Where $I$ represents some interval that is within the domain of $f$ ==Examples== One example of a function with different one-sided limits is the following: :$\backslash lim\_\{1\; \backslash over\; 1\; +\; 2^\{-1/x\}\}\; =\; 0.$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「One-sided limit」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.