Main content
Unit: Limits and continuity
0
About this unit
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.Practice
- Limits introGet 3 of 4 questions to level up!
Learn
Practice
- Estimating limit values from graphsGet 3 of 4 questions to level up!
- One-sided limits from graphsGet 3 of 4 questions to level up!
- Connecting limits and graphical behaviorGet 3 of 4 questions to level up!
Learn
Practice
- Creating tables for approximating limitsGet 3 of 4 questions to level up!
- Estimating limits from tablesGet 3 of 4 questions to level up!
- One-sided limits from tablesGet 3 of 4 questions to level up!
Learn
Practice
- Limits of combined functions: sums and differencesGet 3 of 4 questions to level up!
- 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!
Learn
Practice
- 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!
- Limits of trigonometric functionsGet 3 of 4 questions to level up!
- Limits of piecewise functionsGet 3 of 4 questions to level up!
Learn
Practice
- Limits by factoringGet 3 of 4 questions to level up!
- Limits using conjugatesGet 3 of 4 questions to level up!
- Limits using trig identitiesGet 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!
Learn
Practice
- Squeeze theoremGet 3 of 4 questions to level up!
Practice
- Classify discontinuitiesGet 3 of 4 questions to level up!
Learn
Practice
- Continuity at a point (graphical)Get 3 of 4 questions to level up!
- Continuity at a point (algebraic)Get 3 of 4 questions to level up!
Learn
Practice
- Continuity over an intervalGet 3 of 4 questions to level up!
- Continuity and common functionsGet 3 of 4 questions to level up!
Learn
Practice
- Removable discontinuitiesGet 3 of 4 questions to level up!
Learn
Practice
- Infinite limits: graphicalGet 3 of 4 questions to level up!
- Infinite limits: algebraicGet 3 of 4 questions to level up!
Learn
Practice
- Limits at infinity: graphicalGet 3 of 4 questions to level up!
- 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!
Learn
Practice
- Using the intermediate value theoremGet 3 of 4 questions to level up!
- Justification with the intermediate value theoremGet 3 of 4 questions to level up!
Up next for you:
Level up on all the skills in this unit and collect up to 3500 Mastery points!