[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.55,0:00:02.05,Default,,0000,0000,0000,,Điều ta sẽ thử làm trong video này là
Dialogue: 0,0:00:02.05,0:00:05.57,Default,,0000,0000,0000,,tính phần tổng ở đây
Dialogue: 0,0:00:05.57,0:00:08.11,Default,,0000,0000,0000,,tính xem chuỗi này sẽ là gì, âm 2,
Dialogue: 0,0:00:08.11,0:00:11.66,Default,,0000,0000,0000,,phần n cộng 1 nhân n cộng 2, bắt đầu tại n bằng 2
Dialogue: 0,0:00:11.66,0:00:13.75,Default,,0000,0000,0000,,kéo dài đến vô cực.
Dialogue: 0,0:00:13.75,0:00:16.85,Default,,0000,0000,0000,,Nếu ta muốn biết nó sẽ ra gì, và nó bắt đầu từ
Dialogue: 0,0:00:16.85,0:00:17.40,Default,,0000,0000,0000,,n bằng 2.
Dialogue: 0,0:00:17.40,0:00:20.43,Default,,0000,0000,0000,,Vậy, khi n bằng 2, phần này sẽ bằng âm 2 trên 2
Dialogue: 0,0:00:20.43,0:00:24.37,Default,,0000,0000,0000,,cộng 1, bằng 3; nhân 2 cộng 2, bằng 4.
Dialogue: 0,0:00:24.37,0:00:28.94,Default,,0000,0000,0000,,Rồi khi n bằng 3, phần này là âm 2 phần 3
Dialogue: 0,0:00:28.94,0:00:32.56,Default,,0000,0000,0000,,cộng 1, bằng 4, nhân 3 cộng 2, bằng 5
Dialogue: 0,0:00:32.56,0:00:34.82,Default,,0000,0000,0000,,Và nó sẽ tiếp tục như thế, âm 2
Dialogue: 0,0:00:34.82,0:00:37.67,Default,,0000,0000,0000,,phần 5 nhân 6.
Dialogue: 0,0:00:37.67,0:00:40.62,Default,,0000,0000,0000,,Và cứ tiếp tục mãi mãi.
Dialogue: 0,0:00:40.62,0:00:43.88,Default,,0000,0000,0000,,Rõ ràng là các kết quả tiếp sau đó
Dialogue: 0,0:00:43.88,0:00:45.62,Default,,0000,0000,0000,,sẽ càng ngày càng nhỏ.
Dialogue: 0,0:00:45.62,0:00:47.68,Default,,0000,0000,0000,,Nó nhỏ dần nhanh 1 cách đáng kể.
Dialogue: 0,0:00:47.68,0:00:51.81,Default,,0000,0000,0000,,Vậy cũng hợp lí để giả sử là dù bạn có
Dialogue: 0,0:00:51.81,0:00:53.48,Default,,0000,0000,0000,,vô số số hạng, nhưng kết quả
Dialogue: 0,0:00:53.48,0:00:54.84,Default,,0000,0000,0000,,là 1 giá trị xác định.
Dialogue: 0,0:00:54.84,0:00:56.80,Default,,0000,0000,0000,,Nhưng nó không quá rõ ràng, ít nhất
Dialogue: 0,0:00:56.80,0:00:58.47,Default,,0000,0000,0000,,là ngay lúc này,
Dialogue: 0,0:00:58.47,0:00:59.97,Default,,0000,0000,0000,,là tổng này sẽ có kết quả là gì,
Dialogue: 0,0:00:59.97,0:01:02.12,Default,,0000,0000,0000,,hoặc làm sao để tìm được kết quả đó.
Dialogue: 0,0:01:02.12,0:01:04.27,Default,,0000,0000,0000,,Điều mình muốn bạn làm là dừng video này lại.
Dialogue: 0,0:01:04.27,0:01:07.63,Default,,0000,0000,0000,,Và mình sẽ cho bạn 1 gợi y để suy nghĩ về bài này.
Dialogue: 0,0:01:07.63,0:01:12.17,Default,,0000,0000,0000,,Hãy thử nhớ lại về phép khai triển phân thức đơn giản,
Dialogue: 0,0:01:12.17,0:01:14.16,Default,,0000,0000,0000,,hoặc phép phân tích phân thức đơn giản,
Dialogue: 0,0:01:14.16,0:01:17.92,Default,,0000,0000,0000,,để biến đổi biểu thức này thành tổng của 2 phân số.
Dialogue: 0,0:01:17.92,0:01:22.28,Default,,0000,0000,0000,,Và phần tổng ở đây sẽ phần nào dễ hiểu hơn.
Dialogue: 0,0:01:22.28,0:01:24.34,Default,,0000,0000,0000,,Mình sẽ cho là bạn đã thử rồi nhé,
Dialogue: 0,0:01:24.34,0:01:25.92,Default,,0000,0000,0000,,Hãy thử biến đổi nó nào.
Dialogue: 0,0:01:25.92,0:01:28.84,Default,,0000,0000,0000,,Và xem thử liệu có thể viết thành tổng của 2 phân số không.
Dialogue: 0,0:01:28.84,0:01:32.87,Default,,0000,0000,0000,,Vậy đây là âm 2... và mình sẽ
Dialogue: 0,0:01:32.87,0:01:35.99,Default,,0000,0000,0000,,dùng 2 màu khác nhé... n cộng 1
Dialogue: 0,0:01:35.99,0:01:37.65,Default,,0000,0000,0000,,nhân n cộng 2.
Dialogue: 0,0:01:40.16,0:01:42.87,Default,,0000,0000,0000,,Và nhớ lại trong phép khai triển phân thức đơn giản,
Dialogue: 0,0:01:42.87,0:01:45.71,Default,,0000,0000,0000,,ta có thể viết phần này thành tổng của 2 phân số
Dialogue: 0,0:01:45.71,0:01:54.85,Default,,0000,0000,0000,,dưới dạng A phần n cộng 1, cộng B phần n cộng 2.
Dialogue: 0,0:01:54.85,0:01:55.97,Default,,0000,0000,0000,,Và tại sao điều này hợp lý?
Dialogue: 0,0:01:55.97,0:01:57.09,Default,,0000,0000,0000,,Vì nếu bạn cộng 2 phân số,
Dialogue: 0,0:01:57.09,0:01:58.62,Default,,0000,0000,0000,,bạn phải tìm dược mẫu số chung, chính là
Dialogue: 0,0:01:58.62,0:02:00.65,Default,,0000,0000,0000,,tích của 2 mẫu số.
Dialogue: 0,0:02:00.65,0:02:03.30,Default,,0000,0000,0000,,Đây rõ ràng là tích của 2 mẫu số ở đây.
Dialogue: 0,0:02:03.30,0:02:05.66,Default,,0000,0000,0000,,Và ta đã học được ở phép khai triển phân thức đơn giản
Dialogue: 0,0:02:05.66,0:02:08.92,Default,,0000,0000,0000,,là dù trên này là gì, đặc biệt là khi bậc
Dialogue: 0,0:02:08.92,0:02:13.02,Default,,0000,0000,0000,,ở đây thấp hơn bậc dưới đây,... dù trên này là gì
Dialogue: 0,0:02:13.02,0:02:15.89,Default,,0000,0000,0000,,cũng sẽ thấp hơn 1 bậc so với ở đây.
Dialogue: 0,0:02:15.89,0:02:18.00,Default,,0000,0000,0000,,Vậy đây sẽ là
Dialogue: 0,0:02:18.00,0:02:20.85,Default,,0000,0000,0000,,
Dialogue: 0,0:02:20.85,0:02:22.74,Default,,0000,0000,0000,,
Dialogue: 0,0:02:22.74,0:02:25.58,Default,,0000,0000,0000,,
Dialogue: 0,0:02:25.58,0:02:27.59,Default,,0000,0000,0000,,
Dialogue: 0,0:02:27.59,0:02:29.40,Default,,0000,0000,0000,,
Dialogue: 0,0:02:29.40,0:02:34.19,Default,,0000,0000,0000,,
Dialogue: 0,0:02:34.19,0:02:37.72,Default,,0000,0000,0000,,
Dialogue: 0,0:02:37.72,0:02:41.57,Default,,0000,0000,0000,,
Dialogue: 0,0:02:41.57,0:02:42.10,Default,,0000,0000,0000,,
Dialogue: 0,0:02:42.10,0:02:44.49,Default,,0000,0000,0000,,
Dialogue: 0,0:02:44.49,0:02:50.85,Default,,0000,0000,0000,,
Dialogue: 0,0:02:50.85,0:02:54.47,Default,,0000,0000,0000,,
Dialogue: 0,0:02:54.47,0:02:57.96,Default,,0000,0000,0000,,
Dialogue: 0,0:02:57.96,0:03:01.28,Default,,0000,0000,0000,,
Dialogue: 0,0:03:01.28,0:03:03.40,Default,,0000,0000,0000,,
Dialogue: 0,0:03:03.40,0:03:04.57,Default,,0000,0000,0000,,
Dialogue: 0,0:03:04.57,0:03:12.71,Default,,0000,0000,0000,,
Dialogue: 0,0:03:12.71,0:03:13.38,Default,,0000,0000,0000,,
Dialogue: 0,0:03:15.92,0:03:19.69,Default,,0000,0000,0000,,
Dialogue: 0,0:03:19.69,0:03:21.69,Default,,0000,0000,0000,,
Dialogue: 0,0:03:21.69,0:03:25.29,Default,,0000,0000,0000,,
Dialogue: 0,0:03:25.29,0:03:31.73,Default,,0000,0000,0000,,
Dialogue: 0,0:03:31.73,0:03:40.68,Default,,0000,0000,0000,,
Dialogue: 0,0:03:40.68,0:03:42.68,Default,,0000,0000,0000,,
Dialogue: 0,0:03:42.68,0:03:44.33,Default,,0000,0000,0000,,
Dialogue: 0,0:03:44.33,0:03:51.07,Default,,0000,0000,0000,,
Dialogue: 0,0:03:51.07,0:03:58.73,Default,,0000,0000,0000,,
Dialogue: 0,0:03:58.73,0:04:00.35,Default,,0000,0000,0000,,
Dialogue: 0,0:04:00.35,0:04:03.90,Default,,0000,0000,0000,,
Dialogue: 0,0:04:03.90,0:04:09.08,Default,,0000,0000,0000,,
Dialogue: 0,0:04:09.08,0:04:17.55,Default,,0000,0000,0000,,
Dialogue: 0,0:04:20.92,0:04:24.02,Default,,0000,0000,0000,,
Dialogue: 0,0:04:24.02,0:04:26.65,Default,,0000,0000,0000,,
Dialogue: 0,0:04:26.65,0:04:29.07,Default,,0000,0000,0000,,
Dialogue: 0,0:04:29.07,0:04:31.88,Default,,0000,0000,0000,,
Dialogue: 0,0:04:31.88,0:04:33.67,Default,,0000,0000,0000,,
Dialogue: 0,0:04:33.67,0:04:36.16,Default,,0000,0000,0000,,
Dialogue: 0,0:04:36.16,0:04:38.75,Default,,0000,0000,0000,,
Dialogue: 0,0:04:38.75,0:04:40.42,Default,,0000,0000,0000,,
Dialogue: 0,0:04:40.42,0:04:42.68,Default,,0000,0000,0000,,
Dialogue: 0,0:04:42.68,0:04:44.47,Default,,0000,0000,0000,,
Dialogue: 0,0:04:44.47,0:04:47.56,Default,,0000,0000,0000,,
Dialogue: 0,0:04:47.56,0:04:48.71,Default,,0000,0000,0000,,
Dialogue: 0,0:04:48.71,0:04:52.13,Default,,0000,0000,0000,,
Dialogue: 0,0:04:52.13,0:04:54.93,Default,,0000,0000,0000,,
Dialogue: 0,0:04:54.93,0:04:56.99,Default,,0000,0000,0000,,
Dialogue: 0,0:04:56.99,0:05:00.03,Default,,0000,0000,0000,,
Dialogue: 0,0:05:00.03,0:05:01.52,Default,,0000,0000,0000,,
Dialogue: 0,0:05:01.52,0:05:03.95,Default,,0000,0000,0000,,
Dialogue: 0,0:05:03.95,0:05:05.37,Default,,0000,0000,0000,,
Dialogue: 0,0:05:05.37,0:05:10.96,Default,,0000,0000,0000,,
Dialogue: 0,0:05:10.96,0:05:11.74,Default,,0000,0000,0000,,
Dialogue: 0,0:05:11.74,0:05:17.60,Default,,0000,0000,0000,,
Dialogue: 0,0:05:17.60,0:05:19.14,Default,,0000,0000,0000,,
Dialogue: 0,0:05:19.14,0:05:22.43,Default,,0000,0000,0000,,
Dialogue: 0,0:05:22.43,0:05:24.70,Default,,0000,0000,0000,,
Dialogue: 0,0:05:24.70,0:05:28.34,Default,,0000,0000,0000,,
Dialogue: 0,0:05:28.34,0:05:30.81,Default,,0000,0000,0000,,
Dialogue: 0,0:05:30.81,0:05:32.18,Default,,0000,0000,0000,,
Dialogue: 0,0:05:32.18,0:05:34.53,Default,,0000,0000,0000,,
Dialogue: 0,0:05:34.53,0:05:43.01,Default,,0000,0000,0000,,
Dialogue: 0,0:05:46.10,0:05:51.02,Default,,0000,0000,0000,,
Dialogue: 0,0:05:51.02,0:05:53.02,Default,,0000,0000,0000,,
Dialogue: 0,0:05:53.02,0:05:55.45,Default,,0000,0000,0000,,
Dialogue: 0,0:05:55.45,0:05:56.93,Default,,0000,0000,0000,,
Dialogue: 0,0:05:56.93,0:06:01.09,Default,,0000,0000,0000,,
Dialogue: 0,0:06:01.09,0:06:03.36,Default,,0000,0000,0000,,
Dialogue: 0,0:06:03.36,0:06:05.60,Default,,0000,0000,0000,,
Dialogue: 0,0:06:05.60,0:06:11.11,Default,,0000,0000,0000,,
Dialogue: 0,0:06:11.11,0:06:13.83,Default,,0000,0000,0000,,
Dialogue: 0,0:06:13.83,0:06:16.32,Default,,0000,0000,0000,,
Dialogue: 0,0:06:16.32,0:06:20.12,Default,,0000,0000,0000,,
Dialogue: 0,0:06:20.12,0:06:21.52,Default,,0000,0000,0000,,
Dialogue: 0,0:06:24.09,0:06:28.00,Default,,0000,0000,0000,,
Dialogue: 0,0:06:28.00,0:06:31.10,Default,,0000,0000,0000,,
Dialogue: 0,0:06:31.10,0:06:34.86,Default,,0000,0000,0000,,
Dialogue: 0,0:06:34.86,0:06:37.83,Default,,0000,0000,0000,,
Dialogue: 0,0:06:37.83,0:06:39.20,Default,,0000,0000,0000,,
Dialogue: 0,0:06:39.20,0:06:43.02,Default,,0000,0000,0000,,
Dialogue: 0,0:06:43.02,0:06:44.20,Default,,0000,0000,0000,,
Dialogue: 0,0:06:44.20,0:06:47.45,Default,,0000,0000,0000,,
Dialogue: 0,0:06:47.45,0:06:49.19,Default,,0000,0000,0000,,
Dialogue: 0,0:06:49.19,0:06:53.70,Default,,0000,0000,0000,,
Dialogue: 0,0:06:53.70,0:06:56.54,Default,,0000,0000,0000,,
Dialogue: 0,0:06:56.54,0:07:00.75,Default,,0000,0000,0000,,
Dialogue: 0,0:07:00.75,0:07:03.85,Default,,0000,0000,0000,,
Dialogue: 0,0:07:03.85,0:07:06.37,Default,,0000,0000,0000,,
Dialogue: 0,0:07:06.37,0:07:11.11,Default,,0000,0000,0000,,
Dialogue: 0,0:07:11.11,0:07:17.82,Default,,0000,0000,0000,,
Dialogue: 0,0:07:17.82,0:07:20.61,Default,,0000,0000,0000,,
Dialogue: 0,0:07:20.61,0:07:23.21,Default,,0000,0000,0000,,
Dialogue: 0,0:07:23.21,0:07:25.02,Default,,0000,0000,0000,,
Dialogue: 0,0:07:25.02,0:07:27.87,Default,,0000,0000,0000,,
Dialogue: 0,0:07:27.87,0:07:33.45,Default,,0000,0000,0000,,
Dialogue: 0,0:07:33.45,0:07:37.85,Default,,0000,0000,0000,,
Dialogue: 0,0:07:37.85,0:07:39.33,Default,,0000,0000,0000,,
Dialogue: 0,0:07:39.33,0:07:42.26,Default,,0000,0000,0000,,
Dialogue: 0,0:07:42.26,0:07:46.90,Default,,0000,0000,0000,,
Dialogue: 0,0:07:46.90,0:07:54.41,Default,,0000,0000,0000,,
Dialogue: 0,0:08:00.16,0:08:02.81,Default,,0000,0000,0000,,
Dialogue: 0,0:08:02.81,0:08:04.40,Default,,0000,0000,0000,,
Dialogue: 0,0:08:04.40,0:08:06.64,Default,,0000,0000,0000,,
Dialogue: 0,0:08:06.64,0:08:10.12,Default,,0000,0000,0000,,
Dialogue: 0,0:08:10.12,0:08:21.92,Default,,0000,0000,0000,,
Dialogue: 0,0:08:21.92,0:08:22.61,Default,,0000,0000,0000,,
Dialogue: 0,0:08:28.77,0:08:30.53,Default,,0000,0000,0000,,
Dialogue: 0,0:08:30.53,0:08:33.89,Default,,0000,0000,0000,,
Dialogue: 0,0:08:33.89,0:08:34.64,Default,,0000,0000,0000,,
Dialogue: 0,0:08:34.64,0:08:42.09,Default,,0000,0000,0000,,
Dialogue: 0,0:08:42.09,0:08:46.71,Default,,0000,0000,0000,,
Dialogue: 0,0:08:46.71,0:08:53.17,Default,,0000,0000,0000,,
Dialogue: 0,0:08:57.64,0:09:00.46,Default,,0000,0000,0000,,
Dialogue: 0,0:09:00.46,0:09:02.52,Default,,0000,0000,0000,,
Dialogue: 0,0:09:02.52,0:09:05.19,Default,,0000,0000,0000,,
Dialogue: 0,0:09:08.96,0:09:13.68,Default,,0000,0000,0000,,
Dialogue: 0,0:09:13.68,0:09:24.11,Default,,0000,0000,0000,,
Dialogue: 0,0:09:24.11,0:09:27.56,Default,,0000,0000,0000,,
Dialogue: 0,0:09:27.56,0:09:29.31,Default,,0000,0000,0000,,
Dialogue: 0,0:09:29.31,0:09:33.47,Default,,0000,0000,0000,,
Dialogue: 0,0:09:33.47,0:09:35.59,Default,,0000,0000,0000,,
Dialogue: 0,0:09:35.59,0:09:37.45,Default,,0000,0000,0000,,
Dialogue: 0,0:09:37.45,0:09:39.09,Default,,0000,0000,0000,,
Dialogue: 0,0:09:39.09,0:09:42.69,Default,,0000,0000,0000,,
Dialogue: 0,0:09:42.69,0:09:47.17,Default,,0000,0000,0000,,
Dialogue: 0,0:09:47.17,0:09:50.38,Default,,0000,0000,0000,,
Dialogue: 0,0:09:50.38,0:09:53.04,Default,,0000,0000,0000,,
Dialogue: 0,0:09:53.04,0:09:55.42,Default,,0000,0000,0000,,
Dialogue: 0,0:09:55.42,0:09:59.73,Default,,0000,0000,0000,,
Dialogue: 0,0:09:59.73,0:10:02.30,Default,,0000,0000,0000,,
Dialogue: 0,0:10:02.30,0:10:03.11,Default,,0000,0000,0000,,
Dialogue: 0,0:10:03.11,0:10:06.54,Default,,0000,0000,0000,,
Dialogue: 0,0:10:06.54,0:10:13.79,Default,,0000,0000,0000,,
Dialogue: 0,0:10:13.79,0:10:15.95,Default,,0000,0000,0000,,
Dialogue: 0,0:10:15.95,0:10:19.09,Default,,0000,0000,0000,,
Dialogue: 0,0:10:19.09,0:10:26.29,Default,,0000,0000,0000,,
Dialogue: 0,0:10:26.29,0:10:30.85,Default,,0000,0000,0000,,
Dialogue: 0,0:10:30.85,0:10:37.02,Default,,0000,0000,0000,,
Dialogue: 0,0:10:37.02,0:10:39.44,Default,,0000,0000,0000,,
Dialogue: 0,0:10:39.44,0:10:39.94,Default,,0000,0000,0000,,
Dialogue: 0,0:10:39.94,0:10:43.74,Default,,0000,0000,0000,,
Dialogue: 0,0:10:43.74,0:10:50.46,Default,,0000,0000,0000,,
Dialogue: 0,0:10:50.46,0:10:53.11,Default,,0000,0000,0000,,
Dialogue: 0,0:10:53.11,0:10:57.00,Default,,0000,0000,0000,,
Dialogue: 0,0:10:57.00,0:11:00.51,Default,,0000,0000,0000,,
Dialogue: 0,0:11:00.51,0:11:04.62,Default,,0000,0000,0000,,
Dialogue: 0,0:11:04.62,0:11:06.17,Default,,0000,0000,0000,,
Dialogue: 0,0:11:06.17,0:11:07.88,Default,,0000,0000,0000,,
Dialogue: 0,0:11:07.88,0:11:10.81,Default,,0000,0000,0000,,
Dialogue: 0,0:11:10.81,0:11:15.35,Default,,0000,0000,0000,,
Dialogue: 0,0:11:15.35,0:11:20.03,Default,,0000,0000,0000,,
Dialogue: 0,0:11:20.03,0:11:22.24,Default,,0000,0000,0000,,
Dialogue: 0,0:11:22.24,0:11:23.28,Default,,0000,0000,0000,,
Dialogue: 0,0:11:23.28,0:11:33.24,Default,,0000,0000,0000,,
Dialogue: 0,0:11:33.24,0:11:36.18,Default,,0000,0000,0000,,
Dialogue: 0,0:11:36.18,0:11:37.60,Default,,0000,0000,0000,,
Dialogue: 0,0:11:37.60,0:11:40.38,Default,,0000,0000,0000,,
Dialogue: 0,0:11:40.38,0:11:42.00,Default,,0000,0000,0000,,
Dialogue: 0,0:11:42.00,0:11:43.52,Default,,0000,0000,0000,,
Dialogue: 0,0:11:43.52,0:11:47.99,Default,,0000,0000,0000,,
Dialogue: 0,0:11:47.99,0:11:48.75,Default,,0000,0000,0000,,
Dialogue: 0,0:11:48.75,0:11:54.74,Default,,0000,0000,0000,,
Dialogue: 0,0:11:54.74,0:11:58.46,Default,,0000,0000,0000,,
Dialogue: 0,0:11:58.46,0:12:01.32,Default,,0000,0000,0000,,
Dialogue: 0,0:12:01.32,0:12:02.92,Default,,0000,0000,0000,,
Dialogue: 0,0:12:02.92,0:12:04.38,Default,,0000,0000,0000,,
Dialogue: 0,0:12:09.27,0:12:12.13,Default,,0000,0000,0000,,
Dialogue: 0,0:12:12.13,0:12:14.50,Default,,0000,0000,0000,,
Dialogue: 0,0:12:14.50,0:12:18.43,Default,,0000,0000,0000,,
Dialogue: 0,0:12:18.43,0:12:20.02,Default,,0000,0000,0000,,
Dialogue: 0,0:12:20.02,0:12:23.27,Default,,0000,0000,0000,,
Dialogue: 0,0:12:23.27,0:12:25.52,Default,,0000,0000,0000,,
Dialogue: 0,0:12:25.52,0:12:27.13,Default,,0000,0000,0000,,
Dialogue: 0,0:12:27.13,0:12:29.42,Default,,0000,0000,0000,,
Dialogue: 0,0:12:29.42,0:12:30.64,Default,,0000,0000,0000,,