CAPE Unit 1 Pure Mathematics - Limits I
Welcome to the first of two comprehensive tutorials on mastering limits for CAPE Unit 1 Pure Mathematics!
Dive into the fundamental concept of limits as we explore the essence of limits, continuity, and discontinuity, and how these concepts apply to piecewise functions. You’ll also learn key limit theorems and techniques for evaluating limits, including factorization and dividing by the highest power. This video is your essential guide to mastering limits, providing a solid foundation for more advanced topics.
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Timestamps / Chapters
00:00 Intro
00:06 Concept of Limits
01:31 Example 1 - Existence of a Limit
02:54 Example 2
03:57 Example 3 - Hollow and Solid Points
06:26 Continuity and Discontinuity
08:33 Revisiting Example 2
09:56 Revisiting Example 3
10:38 Summary
11:46 Drawing a Piecewise Function
13:32 Practice Question 1
14:50 Rules for Continuity and Discontinuity
14:59 Practice Question 2
20:17 Example 4 - Past Paper Question - 2014 Paper 2 - Choosing the appropriate function for piecewise limits
22:11 Practice Question 3
23:17 Limit Theorems
25:02 Evaluating Limits
25:28 Example 5 - Factorization
26:46 Example 6 - Divide by the highest power
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