
0.999…. is equal to 1 or not?
0.9999……=1? This question shows up every year. It’s a 0.9999……=1 anniversary, right? Today MathPots also want to try to cook this stuff to everyone.
0.9999……=1? This question shows up every year. It’s a 0.9999……=1 anniversary, right? Today MathPots also want to try to cook this stuff to everyone.
0.999999….. = 1? 這個問題幾乎每年都會在民間被拿出來吵一輪,對長期有在數學相關社團或群組的人來說可能已經感到有些厭煩。出現的頻率讓人覺得… 根本是0.9bar周年慶吧 XD 熱潮又漸漸過去,數之釜今天也來挑戰炒冷飯,看是否能炒出老少咸宜的滋味。
In the last meal [calculus]The clarification of ε-δ definition, we knew the actual meaning of $latex \varepsilon -\delta$ definition. This time we are going to use it. In this dish, I will show you the basic problem in $latex \varepsilon -\delta$ definition. Hope to make you understand clearly!
在上一道菜[微積分]ε-δ定義的觀念釐清中,我們知道到了ε-δ定義的實際意義。知道定義後,這次我們要來實際運用它。在本道菜色中提出了基本題型,希望能讓你們更清楚的瞭解。
Maybe some people would say that “who is Thales? I have only heard about T
或許有人會說,泰勒斯是哪位,我只知道Taylor Swift。但接下來要講的定理你一定有聽過,而且在國中階段初學幾何時一定也用過不少他的發現。
I believe that you learned the simple concepts of limit, integral and differenti
相信大家初次認識微積分時,應該是先學會最簡單的極限概念、微分和積分吧?然而看了微積分相關的書籍才發現怎麼第一章就跑出了奇怪的ε-δ定義,即使背了也只知道大概,沒有相當透徹的理解。本篇的目的便是把和極限相關的概念釐清,也包含ε-δ定義。
If you search well on YouTube, you can find many great channels. Even if are bad in foreign language, you mus try. It will take you into another world and broaden you.
平常我們總會問有沒有適合的數學教科書、有沒有數學的線上課程、有推薦的數學老師嗎?然而,在大家放鬆的地方-YouTube也有好幾位熱心的數學專家經營的頻道喔!
0.9999……=1? This question shows up every year. It’s a 0.9999……=1 anniversary, right? Today MathPots also want to try to cook this stuff to everyone.
0.999999….. = 1? 這個問題幾乎每年都會在民間被拿出來吵一輪,對長期有在數學相關社團或群組的人來說可能已經感到有些厭煩。出現的頻率讓人覺得… 根本是0.9bar周年慶吧 XD 熱潮又漸漸過去,數之釜今天也來挑戰炒冷飯,看是否能炒出老少咸宜的滋味。
In the last meal [calculus]The clarification of ε-δ definition, we knew the actual meaning of $latex \varepsilon -\delta$ definition. This time we are going to use it. In this dish, I will show you the basic problem in $latex \varepsilon -\delta$ definition. Hope to make you understand clearly!
在上一道菜[微積分]ε-δ定義的觀念釐清中,我們知道到了ε-δ定義的實際意義。知道定義後,這次我們要來實際運用它。在本道菜色中提出了基本題型,希望能讓你們更清楚的瞭解。
Maybe some people would s
相信大家初次認識微積分時,應該是先學會最簡單的極限概念、微分和積分吧?然而看了微積分相關的書籍才發現怎麼第一章就跑出了奇怪的ε-δ定義,即使背了也只知道大概,沒有相當透徹的理解。本篇的目的便是把和極限相關的概念釐清,也包含ε-δ定義。
If you search well on YouTube, you can find many great channels. Even if are bad in foreign language, you mus try. It will take you into another world and broaden you.
平常我們總會問有沒有適合的數學教科書、有沒有數學的線上課程、有推薦的數學老師嗎?然而,在大家放鬆的地方-YouTube也有好幾位熱心的數學專家經營的頻道喔!
如果你覺得數之釜不錯,或是也想為數之釜盡一點心力,歡迎請主廚 Alex 一杯啤酒!