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- Diego rents a kayak.
- Find each one-sided limit from the rule that governs that side.\lim_{x \to 0^-} \dfrac{|3x| - x}{x}\lim_{x \to 2^-} \left(x^2 - \lfloor x \rfloor^2\right)\lim_{x \to 2^+} \dfrac{x^2 - 4x + 4}{|x - 2|}
- Let $f
- Let $f
- Mei rides an elevator in an office tower whose floors are 4 meters apart; the lobby is floor 0.
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One sided limits and when a limit exists: the lesson ›More Chapter 1 worksheets: Limits and continuity
- 1.1What a limit is: graphs and tables
- 1.2One sided limits and when a limit exists
- 1.3The limit laws
- 1.4Limits by algebra: factoring and rationalizing
- 1.5The squeeze theorem and the limit of sine x over x
- 1.6Continuity at a point
- 1.7Continuity on an interval
- 1.8Infinite limits and vertical asymptotes
- 1.9Discontinuities and how to remove them
- 1.10Making a piecewise function continuous
- 1.11Limits at infinity and horizontal asymptotes
- 1.12Comparing growth rates at infinity
- 1.13The intermediate value theorem
- 1.14The epsilon delta definition of a limit