[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.33,0:00:01.80,Default,,0000,0000,0000,,在本视频中，
Dialogue: 0,0:00:01.80,0:00:04.45,Default,,0000,0000,0000,,我们将讨论不同的间断点，
Dialogue: 0,0:00:04.45,0:00:07.36,Default,,0000,0000,0000,,你可能已经在代数或预科微积分课程中学习过了，
Dialogue: 0,0:00:07.36,0:00:11.01,Default,,0000,0000,0000,,但这里相关的内容是
Dialogue: 0,0:00:11.01,0:00:14.88,Default,,0000,0000,0000,,双边极限和单边极限。
Dialogue: 0,0:00:14.88,0:00:18.73,Default,,0000,0000,0000,,首先让我们来回顾一下间断点的分类。
Dialogue: 0,0:00:18.73,0:00:22.27,Default,,0000,0000,0000,,看左边的这条曲线，
Dialogue: 0,0:00:22.27,0:00:25.64,Default,,0000,0000,0000,,它代表了y等于x的平方，
Dialogue: 0,0:00:25.64,0:00:28.50,Default,,0000,0000,0000,,除了x=3这一点。
Dialogue: 0,0:00:28.50,0:00:31.24,Default,,0000,0000,0000,,
Dialogue: 0,0:00:31.24,0:00:33.11,Default,,0000,0000,0000,,
Dialogue: 0,0:00:33.11,0:00:35.89,Default,,0000,0000,0000,,
Dialogue: 0,0:00:35.89,0:00:37.42,Default,,0000,0000,0000,,
Dialogue: 0,0:00:37.42,0:00:39.54,Default,,0000,0000,0000,,
Dialogue: 0,0:00:39.54,0:00:42.16,Default,,0000,0000,0000,,
Dialogue: 0,0:00:42.16,0:00:44.66,Default,,0000,0000,0000,,
Dialogue: 0,0:00:45.83,0:00:47.52,Default,,0000,0000,0000,,
Dialogue: 0,0:00:47.52,0:00:49.82,Default,,0000,0000,0000,,
Dialogue: 0,0:00:49.82,0:00:52.66,Default,,0000,0000,0000,,
Dialogue: 0,0:00:52.66,0:00:54.75,Default,,0000,0000,0000,,
Dialogue: 0,0:00:54.75,0:00:57.85,Default,,0000,0000,0000,,
Dialogue: 0,0:00:57.85,0:01:00.14,Default,,0000,0000,0000,,
Dialogue: 0,0:01:00.14,0:01:01.83,Default,,0000,0000,0000,,
Dialogue: 0,0:01:01.83,0:01:05.24,Default,,0000,0000,0000,,
Dialogue: 0,0:01:05.24,0:01:07.77,Default,,0000,0000,0000,,
Dialogue: 0,0:01:07.77,0:01:08.69,Default,,0000,0000,0000,,
Dialogue: 0,0:01:10.16,0:01:11.41,Default,,0000,0000,0000,,
Dialogue: 0,0:01:12.27,0:01:14.34,Default,,0000,0000,0000,,
Dialogue: 0,0:01:14.34,0:01:17.01,Default,,0000,0000,0000,,
Dialogue: 0,0:01:18.09,0:01:20.59,Default,,0000,0000,0000,,
Dialogue: 0,0:01:21.75,0:01:26.56,Default,,0000,0000,0000,,
Dialogue: 0,0:01:26.56,0:01:28.74,Default,,0000,0000,0000,,
Dialogue: 0,0:01:28.74,0:01:30.71,Default,,0000,0000,0000,,
Dialogue: 0,0:01:30.71,0:01:33.46,Default,,0000,0000,0000,,
Dialogue: 0,0:01:33.46,0:01:37.23,Default,,0000,0000,0000,,
Dialogue: 0,0:01:37.23,0:01:38.71,Default,,0000,0000,0000,,
Dialogue: 0,0:01:38.71,0:01:40.71,Default,,0000,0000,0000,,
Dialogue: 0,0:01:41.64,0:01:42.47,Default,,0000,0000,0000,,
Dialogue: 0,0:01:43.70,0:01:46.41,Default,,0000,0000,0000,,
Dialogue: 0,0:01:46.41,0:01:48.68,Default,,0000,0000,0000,,
Dialogue: 0,0:01:48.68,0:01:51.41,Default,,0000,0000,0000,,
Dialogue: 0,0:01:51.41,0:01:54.07,Default,,0000,0000,0000,,
Dialogue: 0,0:01:54.07,0:01:57.51,Default,,0000,0000,0000,,
Dialogue: 0,0:01:57.51,0:02:00.34,Default,,0000,0000,0000,,
Dialogue: 0,0:02:00.34,0:02:01.91,Default,,0000,0000,0000,,
Dialogue: 0,0:02:01.91,0:02:04.86,Default,,0000,0000,0000,,
Dialogue: 0,0:02:04.86,0:02:07.89,Default,,0000,0000,0000,,
Dialogue: 0,0:02:07.89,0:02:11.30,Default,,0000,0000,0000,,
Dialogue: 0,0:02:11.30,0:02:14.68,Default,,0000,0000,0000,,
Dialogue: 0,0:02:14.68,0:02:16.59,Default,,0000,0000,0000,,
Dialogue: 0,0:02:16.59,0:02:18.14,Default,,0000,0000,0000,,
Dialogue: 0,0:02:18.14,0:02:20.14,Default,,0000,0000,0000,,
Dialogue: 0,0:02:20.14,0:02:22.39,Default,,0000,0000,0000,,
Dialogue: 0,0:02:22.39,0:02:24.44,Default,,0000,0000,0000,,
Dialogue: 0,0:02:24.44,0:02:28.27,Default,,0000,0000,0000,,
Dialogue: 0,0:02:28.27,0:02:29.52,Default,,0000,0000,0000,,
Dialogue: 0,0:02:30.43,0:02:34.15,Default,,0000,0000,0000,,
Dialogue: 0,0:02:34.15,0:02:36.17,Default,,0000,0000,0000,,
Dialogue: 0,0:02:36.17,0:02:40.77,Default,,0000,0000,0000,,
Dialogue: 0,0:02:40.77,0:02:43.28,Default,,0000,0000,0000,,
Dialogue: 0,0:02:43.28,0:02:45.92,Default,,0000,0000,0000,,
Dialogue: 0,0:02:45.92,0:02:48.63,Default,,0000,0000,0000,,
Dialogue: 0,0:02:48.63,0:02:52.46,Default,,0000,0000,0000,,
Dialogue: 0,0:02:52.46,0:02:55.14,Default,,0000,0000,0000,,
Dialogue: 0,0:02:55.14,0:02:58.22,Default,,0000,0000,0000,,
Dialogue: 0,0:02:58.22,0:03:00.51,Default,,0000,0000,0000,,
Dialogue: 0,0:03:00.51,0:03:03.60,Default,,0000,0000,0000,,
Dialogue: 0,0:03:03.60,0:03:04.52,Default,,0000,0000,0000,,
Dialogue: 0,0:03:04.52,0:03:06.02,Default,,0000,0000,0000,,
Dialogue: 0,0:03:06.02,0:03:07.68,Default,,0000,0000,0000,,
Dialogue: 0,0:03:07.68,0:03:09.69,Default,,0000,0000,0000,,
Dialogue: 0,0:03:09.69,0:03:12.36,Default,,0000,0000,0000,,
Dialogue: 0,0:03:12.36,0:03:14.93,Default,,0000,0000,0000,,
Dialogue: 0,0:03:14.93,0:03:17.38,Default,,0000,0000,0000,,
Dialogue: 0,0:03:17.38,0:03:19.58,Default,,0000,0000,0000,,
Dialogue: 0,0:03:19.58,0:03:22.38,Default,,0000,0000,0000,,
Dialogue: 0,0:03:22.38,0:03:23.55,Default,,0000,0000,0000,,
Dialogue: 0,0:03:24.43,0:03:25.60,Default,,0000,0000,0000,,
Dialogue: 0,0:03:27.75,0:03:31.24,Default,,0000,0000,0000,,
Dialogue: 0,0:03:31.24,0:03:33.78,Default,,0000,0000,0000,,
Dialogue: 0,0:03:33.78,0:03:37.70,Default,,0000,0000,0000,,
Dialogue: 0,0:03:37.70,0:03:39.24,Default,,0000,0000,0000,,
Dialogue: 0,0:03:39.24,0:03:41.92,Default,,0000,0000,0000,,
Dialogue: 0,0:03:41.92,0:03:45.57,Default,,0000,0000,0000,,
Dialogue: 0,0:03:45.57,0:03:48.58,Default,,0000,0000,0000,,
Dialogue: 0,0:03:48.58,0:03:51.02,Default,,0000,0000,0000,,
Dialogue: 0,0:03:51.02,0:03:53.16,Default,,0000,0000,0000,,
Dialogue: 0,0:03:53.16,0:03:55.18,Default,,0000,0000,0000,,
Dialogue: 0,0:03:55.18,0:03:57.06,Default,,0000,0000,0000,,
Dialogue: 0,0:03:57.06,0:03:59.42,Default,,0000,0000,0000,,
Dialogue: 0,0:03:59.42,0:04:00.25,Default,,0000,0000,0000,,
Dialogue: 0,0:04:01.50,0:04:03.00,Default,,0000,0000,0000,,
Dialogue: 0,0:04:04.21,0:04:05.04,Default,,0000,0000,0000,,
Dialogue: 0,0:04:06.00,0:04:07.17,Default,,0000,0000,0000,,
Dialogue: 0,0:04:08.19,0:04:09.57,Default,,0000,0000,0000,,
Dialogue: 0,0:04:09.57,0:04:11.01,Default,,0000,0000,0000,,
Dialogue: 0,0:04:11.01,0:04:12.19,Default,,0000,0000,0000,,
Dialogue: 0,0:04:12.19,0:04:14.68,Default,,0000,0000,0000,,
Dialogue: 0,0:04:14.68,0:04:18.60,Default,,0000,0000,0000,,
Dialogue: 0,0:04:18.60,0:04:20.100,Default,,0000,0000,0000,,
Dialogue: 0,0:04:20.100,0:04:22.88,Default,,0000,0000,0000,,
Dialogue: 0,0:04:22.88,0:04:24.07,Default,,0000,0000,0000,,
Dialogue: 0,0:04:24.07,0:04:25.53,Default,,0000,0000,0000,,
Dialogue: 0,0:04:25.53,0:04:28.61,Default,,0000,0000,0000,,
Dialogue: 0,0:04:28.61,0:04:29.71,Default,,0000,0000,0000,,
Dialogue: 0,0:04:29.71,0:04:30.72,Default,,0000,0000,0000,,
Dialogue: 0,0:04:30.72,0:04:32.42,Default,,0000,0000,0000,,
Dialogue: 0,0:04:32.42,0:04:34.39,Default,,0000,0000,0000,,
Dialogue: 0,0:04:34.39,0:04:36.16,Default,,0000,0000,0000,,
Dialogue: 0,0:04:36.16,0:04:37.84,Default,,0000,0000,0000,,
Dialogue: 0,0:04:37.84,0:04:39.59,Default,,0000,0000,0000,,
Dialogue: 0,0:04:39.59,0:04:41.07,Default,,0000,0000,0000,,
Dialogue: 0,0:04:41.07,0:04:42.77,Default,,0000,0000,0000,,
Dialogue: 0,0:04:42.77,0:04:44.92,Default,,0000,0000,0000,,
Dialogue: 0,0:04:44.92,0:04:46.40,Default,,0000,0000,0000,,
Dialogue: 0,0:04:46.40,0:04:48.23,Default,,0000,0000,0000,,
Dialogue: 0,0:04:48.23,0:04:49.85,Default,,0000,0000,0000,,
Dialogue: 0,0:04:49.85,0:04:51.54,Default,,0000,0000,0000,,
Dialogue: 0,0:04:51.54,0:04:54.51,Default,,0000,0000,0000,,
Dialogue: 0,0:04:54.51,0:04:58.74,Default,,0000,0000,0000,,
Dialogue: 0,0:04:58.74,0:04:59.88,Default,,0000,0000,0000,,
Dialogue: 0,0:04:59.88,0:05:01.46,Default,,0000,0000,0000,,
Dialogue: 0,0:05:01.46,0:05:02.55,Default,,0000,0000,0000,,
Dialogue: 0,0:05:02.55,0:05:06.16,Default,,0000,0000,0000,,
Dialogue: 0,0:05:06.16,0:05:08.75,Default,,0000,0000,0000,,
Dialogue: 0,0:05:08.75,0:05:10.00,Default,,0000,0000,0000,,
Dialogue: 0,0:05:10.00,0:05:13.62,Default,,0000,0000,0000,,
Dialogue: 0,0:05:13.62,0:05:14.53,Default,,0000,0000,0000,,
Dialogue: 0,0:05:17.46,0:05:19.12,Default,,0000,0000,0000,,
Dialogue: 0,0:05:19.12,0:05:20.29,Default,,0000,0000,0000,,
Dialogue: 0,0:05:21.51,0:05:22.68,Default,,0000,0000,0000,,
Dialogue: 0,0:05:23.78,0:05:27.52,Default,,0000,0000,0000,,
Dialogue: 0,0:05:27.52,0:05:30.39,Default,,0000,0000,0000,,
Dialogue: 0,0:05:30.39,0:05:33.60,Default,,0000,0000,0000,,
Dialogue: 0,0:05:33.60,0:05:34.86,Default,,0000,0000,0000,,
Dialogue: 0,0:05:34.86,0:05:36.80,Default,,0000,0000,0000,,
Dialogue: 0,0:05:36.80,0:05:40.13,Default,,0000,0000,0000,,
Dialogue: 0,0:05:40.13,0:05:42.13,Default,,0000,0000,0000,,
Dialogue: 0,0:05:42.13,0:05:44.48,Default,,0000,0000,0000,,
Dialogue: 0,0:05:44.48,0:05:46.33,Default,,0000,0000,0000,,
Dialogue: 0,0:05:46.33,0:05:48.94,Default,,0000,0000,0000,,
Dialogue: 0,0:05:48.94,0:05:51.13,Default,,0000,0000,0000,,
Dialogue: 0,0:05:51.13,0:05:52.76,Default,,0000,0000,0000,,
Dialogue: 0,0:05:52.76,0:05:55.07,Default,,0000,0000,0000,,
Dialogue: 0,0:05:55.07,0:05:57.32,Default,,0000,0000,0000,,
Dialogue: 0,0:05:58.63,0:06:02.37,Default,,0000,0000,0000,,
Dialogue: 0,0:06:02.37,0:06:04.42,Default,,0000,0000,0000,,
Dialogue: 0,0:06:04.42,0:06:08.66,Default,,0000,0000,0000,,
Dialogue: 0,0:06:08.66,0:06:12.47,Default,,0000,0000,0000,,
Dialogue: 0,0:06:12.47,0:06:13.72,Default,,0000,0000,0000,,
Dialogue: 0,0:06:13.72,0:06:16.93,Default,,0000,0000,0000,,
Dialogue: 0,0:06:16.93,0:06:18.40,Default,,0000,0000,0000,,
Dialogue: 0,0:06:18.40,0:06:21.68,Default,,0000,0000,0000,,
Dialogue: 0,0:06:21.68,0:06:23.08,Default,,0000,0000,0000,,
Dialogue: 0,0:06:23.08,0:06:24.36,Default,,0000,0000,0000,,
Dialogue: 0,0:06:24.36,0:06:28.45,Default,,0000,0000,0000,,
Dialogue: 0,0:06:28.45,0:06:31.05,Default,,0000,0000,0000,,
Dialogue: 0,0:06:31.05,0:06:33.35,Default,,0000,0000,0000,,
Dialogue: 0,0:06:33.35,0:06:34.60,Default,,0000,0000,0000,,
Dialogue: 0,0:06:34.60,0:06:36.98,Default,,0000,0000,0000,,
Dialogue: 0,0:06:36.98,0:06:41.01,Default,,0000,0000,0000,,
Dialogue: 0,0:06:41.01,0:06:42.62,Default,,0000,0000,0000,,
Dialogue: 0,0:06:42.62,0:06:44.92,Default,,0000,0000,0000,,
Dialogue: 0,0:06:44.92,0:06:46.75,Default,,0000,0000,0000,,
Dialogue: 0,0:06:46.75,0:06:48.61,Default,,0000,0000,0000,,
Dialogue: 0,0:06:48.61,0:06:49.92,Default,,0000,0000,0000,,
Dialogue: 0,0:06:49.92,0:06:52.95,Default,,0000,0000,0000,,
Dialogue: 0,0:06:52.95,0:06:54.37,Default,,0000,0000,0000,,
Dialogue: 0,0:06:54.37,0:06:55.79,Default,,0000,0000,0000,,
Dialogue: 0,0:06:55.79,0:06:57.98,Default,,0000,0000,0000,,
Dialogue: 0,0:06:57.98,0:06:59.30,Default,,0000,0000,0000,,
Dialogue: 0,0:06:59.30,0:07:01.44,Default,,0000,0000,0000,,
Dialogue: 0,0:07:01.44,0:07:02.63,Default,,0000,0000,0000,,
Dialogue: 0,0:07:02.63,0:07:04.95,Default,,0000,0000,0000,,
Dialogue: 0,0:07:04.95,0:07:07.70,Default,,0000,0000,0000,,
Dialogue: 0,0:07:07.70,0:07:09.93,Default,,0000,0000,0000,,
Dialogue: 0,0:07:09.93,0:07:12.22,Default,,0000,0000,0000,,
Dialogue: 0,0:07:12.22,0:07:15.04,Default,,0000,0000,0000,,