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- Find each limit.\displaystyle \lim_{x \to 2^+} \dfrac{3x + 1}{2 - x}\displaystyle \lim_{x \to 5^-} \dfrac{x - 8}{x^2 - 25}\displaystyle \lim_{x \to 3} \dfrac{6 - x^2}{x^2 - 6x + 9}\displaystyle \lim_{x \to 1} \dfrac{2x + 3}{x^3 - 1}\displaystyle \lim_{x \to -2^+} \dfrac{1 - x}{x^2 + x - 2}
- Let $f
- Find each limit, and say which result you use.
- Let $g
- All that is known about three functions near 4 is this:
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Infinite limits and vertical asymptotes: 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