Calculus 1: Lecture 1.4 Continuity and One-Sided Limits

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Brief Summary of Some of the Topics
- Informal Definition of a Limit
- A More Formal Definition of a Limit and detailed remarks regarding this definition
- Various Examples using this more formal definition, explaining when it fails and why
- Types of discontinuities(mainly removable and nonremovable)
- Examples with Piece-wise functions
- Examples with absolute value functions
- The Intermediate Value Theorem

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raitup

For number 16, I used the algebraic, non-calculus solution, which probably doesn't give the conceptual understanding, but I did get the right answer. Here's how I solved it:
From the piecewise function, I found two points that would be on the connecting line: (-3, 8) and (5, -8). Using slope formula m = a = -2. Then I used y = mx + b to find b = 2.

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