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- Find each limit.\lim_{x \to -2} (x^3 + 3x^2 - x + 4)\lim_{x \to 3} (4 - x^2)^3\lim_{x \to 4} \dfrac{x^2 - 4}{x + 1}\lim_{x \to -3} \left(x + \sqrt{x^2 + 16}\right)\lim_{x \to \pi} x\cos x
- Suppose $\lim_{x \to 3} f
- Find _x 5 √(2x² - 1)x - 3 exactly.
- Suppose $\lim_{x \to -3} \big[f
- For each limit, find the limits of the top and of the bottom, and decide whether the quotient law applies.
- Yuna finds a limit this way:
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The limit laws: 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