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Unit 1: Limits and continuity
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Limits describe the behavior of a function as we approach a certain input value, regardless of the function's actual value there. Continuity requires that the behavior of a function around a point matches the function's value at that point. These simple yet powerful ideas play a major role in all of calculus.Learn
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- Creating tables for approximating limitsGet 3 of 4 questions to level up!
- Estimating limits from tablesGet 3 of 4 questions to level up!
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- One-sided limits from graphsGet 3 of 4 questions to level up!
- One-sided limits from tablesGet 3 of 4 questions to level up!
- Connecting limits and graphical behaviorGet 3 of 4 questions to level up!
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- Continuity at a point (graphical)Get 3 of 4 questions to level up!
- Continuity over an intervalGet 3 of 4 questions to level up!
- Continuity and common functionsGet 3 of 4 questions to level up!
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- Limits of combined functions: products and quotientsGet 3 of 4 questions to level up!
- Limits of composite functionsGet 3 of 4 questions to level up!
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- Limits by direct substitutionGet 3 of 4 questions to level up!
- Direct substitution with limits that don't existGet 3 of 4 questions to level up!
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- Limits by factoringGet 3 of 4 questions to level up!
- Limits using conjugatesGet 3 of 4 questions to level up!
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- Limits of trigonometric functionsGet 3 of 4 questions to level up!
- Limits using trig identitiesGet 3 of 4 questions to level up!
- Squeeze theoremGet 3 of 4 questions to level up!
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- Infinite limits: graphicalGet 3 of 4 questions to level up!
- Infinite limits: algebraicGet 3 of 4 questions to level up!
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- Limits at infinity of quotientsGet 5 of 7 questions to level up!
- Limits at infinity of quotients with square rootsGet 3 of 4 questions to level up!
- Limits at infinity of quotients with trigGet 3 of 4 questions to level up!
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- Classify discontinuitiesGet 3 of 4 questions to level up!
- Limits of piecewise functionsGet 3 of 4 questions to level up!
- Removable discontinuitiesGet 3 of 4 questions to level up!
Practice
- Conclusions from direct substitution (finding limits)Get 3 of 4 questions to level up!
- Next steps after indeterminate form (finding limits)Get 3 of 4 questions to level up!
- Strategy in finding limitsGet 3 of 4 questions to level up!
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