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【AP微积分AB/BC】01：极限和连续性 54集全【可汗学院】【官网最新版】

2.5万
108
2019-06-03 12:18:58
381
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配合练习食用更愉快：https://www.khanacademy.org/math/ap-calculus-bc/bc-limits-new 视频命名方式：单元-编号，每一单元对应1-4个练习，几个单元放一起有Quiz。 Q1：P1-9 Q2：P10-18 Q3：P19-26 Q4：P27-36 Q5：P37-46 Q6：P47-50 最后4P是选看。 除了上一个“Series 级数”的合集，以后更新的内容AB和BC是一样的。 这几年可汗上的微积分越来越全了（欣慰） 更新至2019年6月3日
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视频选集
（1/54）
1-1 Limits intro
11:32
2-1 Estimating limit values from graphs
06:01
2-2 Unbounded limits
02:32
2-3 One-sided limits from graphs
09:11
2-4 One-sided limits from graphs- asymptote
02:27
2-5 Connecting limits and graphical behavior
05:03
3-1 Approximating limits using tables
04:28
3-2 Estimating limits from tables
03:24
3-3 One-sided limits from tables
06:20
4-1 Limit properties
05:08
4-2 Limits of combined functions
04:09
4-4 Limits of composite functions
05:12
4-3 Limits of combined functions- piecewise functions
04:13
5-1 Limits by direct substitution
02:07
5-2 Undefined limits by direct substitution
02:14
5-3 Limits of trigonometric functions
06:06
5-4 Limits of piecewise functions
03:49
5-5 Limits of piecewise functions- absolute value
06:20
6-1 Limits by factoring
05:44
6-2 Limits by rationalizing
09:32
6-3 Trig limit using Pythagorean identity
07:02
6-4 Trig limit using double angle identity
10:31
6.5-1 Strategy in finding limits 突然发现漏了个单元...
12:31
7-1 Squeeze theorem intro
07:11
7-2 Limit of sin(x):x as x approaches 0
09:16
7-3 Limit of (1-cos(x)):x as x approaches 0
04:05
8-1 Types of discontinuities
07:16
9-1 Continuity at a point
08:16
9-2 Worked example- Continuity at a point (graphical)
07:19
9-3 Worked example- point where a function is continuous
03:59
9-4 Worked example- point where a function isn't continuous
04:03
10-1 Continuity over an interval
09:00
10-2 Functions continuous on all real numbers
03:17
10-3 Functions continuous at specific x-values
04:22
11-1 Removing discontinuities (factoring)
04:57
11-2 Removing discontinuities (rationalization)
05:21
12-1 Introduction to infinite limits
04:23
12-2 Infinite limits and asymptotes
04:14
12-3 Analyzing unbounded limits- rational function
05:03
12-4 Analyzing unbounded limits- mixed function
06:17
13-1 Introduction to limits at infinity _ Limits and continuity _ AP Calculus AB
02:46
13-2 Functions with same limit at infinity
03:46
13-3 Limits at infinity of quotients (Part 1)
04:07
13-4 Limits at infinity of quotients (Part 2)
04:33
13-5 Limits at infinity of quotients with square roots (odd power)
05:14
13-6 Limits at infinity of quotients with square roots (even power)
03:37
14-1 Intermediate value theorem
08:05
14-2 Worked example- using the intermediate value theorem
06:43
14-3 Justification with the intermediate value theorem- table
05:29
14-4 Justification with the intermediate value theorem- equation
03:46
0-1 Formal definition of limits Part 1- intuition review
03:36
0-2 Formal definition of limits Part 2- building the idea
06:06
0-3 Formal definition of limits Part 3- the definition
06:59
0-4 Formal definition of limits Part 4- using the definition
08:30

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