Re: [微積] 如何證明lim sinx/x=1如果面積概念未定義
※ 引述《JohnMash (Paul)》之銘言:
: ※ 引述《sightseer ()》之銘言:
: : 常見的證明lim sinx/x=1 as x approaches 0的方法如下(夾擠定理)
: : http://tinyurl.com/kgkuehy
: : 其中用到 扇形OKA的面積=1/2*R^2*x
: : 但是這已經先假設我們已知如何定義並計算扇形面積了
: : 所以如果"面積"概念尚未定義的情況下
: : lim sinx/x=1如何證明?
: 本解法只用弧線長大於直線長及其類推
: 來證明
: http://imgur.com/ILy7jk1


--
Sent from my Android
--
※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 123.194.229.234
※ 文章網址: https://www.ptt.cc/bbs/Math/M.1424538200.A.DC9.html
推
02/22 01:06, , 1F
02/22 01:06, 1F
→
02/22 01:07, , 2F
02/22 01:07, 2F
→
02/22 01:07, , 3F
02/22 01:07, 3F
→
02/22 01:08, , 4F
02/22 01:08, 4F
→
02/22 01:09, , 5F
02/22 01:09, 5F
→
02/22 01:09, , 6F
02/22 01:09, 6F
→
02/22 01:20, , 7F
02/22 01:20, 7F
→
02/22 01:20, , 8F
02/22 01:20, 8F
→
02/22 01:21, , 9F
02/22 01:21, 9F
→
02/22 01:21, , 10F
02/22 01:21, 10F
→
02/22 01:21, , 11F
02/22 01:21, 11F
→
02/22 01:22, , 12F
02/22 01:22, 12F
→
02/22 01:22, , 13F
02/22 01:22, 13F
→
02/22 01:23, , 14F
02/22 01:23, 14F
→
02/22 01:23, , 15F
02/22 01:23, 15F
→
02/22 01:26, , 16F
02/22 01:26, 16F
推
02/22 01:27, , 17F
02/22 01:27, 17F
→
02/22 01:31, , 18F
02/22 01:31, 18F
→
02/23 08:23, , 19F
02/23 08:23, 19F
→
02/23 08:24, , 20F
02/23 08:24, 20F
→
02/23 08:25, , 21F
02/23 08:25, 21F
討論串 (同標題文章)