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- Find every discontinuity of each function and classify it as removable, jump, infinite or oscillating.\dfrac{x^2 + 2x - 8}{x^3 - 4x}\dfrac{1 - \cos x}{x\lvert x \rvert}\dfrac{1}{x}\cos\dfrac{1}{x}
- Let $g
- Let f
- Let $f
- Decide whether each statement is true for every function f and every number a.
- Let $f
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Discontinuities and how to remove them: 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