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\nAP Calculus AB Unit 1: Limits and Continuity\n

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\n\nFor Students\n\n11th - 12th\n
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\nFlip your classroom and teach AP Calculus remotely! Unit 1 of the course focuses on limits and continuity. Informative videos introduce each lesson's topic, and the resource packets include worksheets, practice solutions, and two...\n
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AP Test Prep
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\n\"Calculus\n\n
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\nCalculus AB/BC End of Unit 1 Review: Limits and Continuity\n

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\n\nFor Students\n\n10th - 12th\n
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\nTest the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...\n
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\nA.P. Calculus Test Chapter 2 Limits and Continuity\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this limits and continuity test, learners solve 8 multiple choice questions. They define the words limits and continuity. Students determine the limits of 8 functions. Learners find the value for a constant in one function, and prove...\n
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Worksheet
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\n\"Limits\n\n
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\nCurated OER\n
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\nLimits and Continuity\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this calculus worksheet, students work problems containing functions, limits and dealing with continuity. They evaluate functions and use the limits theorem to help find the correct answer. There are 26 questions.\n
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Worksheet
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\nReview of Limits and Continuity\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this calculus worksheet, students complete a chart of values using limits and continuity. They use the test of continuity to solve most of the problems and match their answers to the correct answers. There are 18 matching questions...\n
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AP Test Prep11:45
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\nCalculus AB/BC - Confirming Continuity Over an Interval\n

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\nConfirm one's expertise with confirming continuity over an interval. Pupils first review how to determine the domain of a function taking denominators, roots, and logarithms into account. They then connect this concept to continuity in...\n
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AP Test Prep11:14
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\nCalculus AB/BC - Estimating Limit Values from Tables\n

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\nThere's value in using a video to analyze a table of values. Pupils learn how to find the limit of a function from a table of values in the fourth of 18 lessons in Unit 1 - Limits and Continuity. An engaging video gives a tutorial on how...\n
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AP Test Prep13:27
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\nCalculus AB/BC - Limits at Infinity and Horizontal Asymptotes\n

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\n\nFor Students\n\n10th - 12th\n
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\nLearning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...\n
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AP Test Prep7:55
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\nCalculus AB/BC - Infinite Limits and Vertical Asymptotes\n

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\nInfinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...\n
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AP Test Prep11:03
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\nCalculus AB/BC - Determining Limits Using Algebraic Manipulation\n

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\nSometimes a little manipulation goes a long way. The sixth of 18 videos in Unit 1 - Limits and Continuity shows viewers how to use algebraic manipulation to determine limits. They first use substitution and factoring, then apply special...\n
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AP Test Prep7:18
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\nCalculus AB/BC - Defining Limits and Using Limit Notation\n

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\nThere's no limit to what one can learn about limits. The second of 18 videos in Unit 1 - Limits and Continuity focuses on understanding the basic concept of a limit. Pupils learn the definition of limits and see how to determine a limit...\n
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AP Test Prep11:15
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\nCalculus AB/BC - Exploring Types of Discontinuities\n

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\nContinue one's studies by studying discontinuities. The 11th of 18 lessons in Unit 1 - Limits and Continuity first describes the different types of discontinuities. By watching a video, pupils learn to algebraically determine the...\n
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AP Test Prep11:46
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\nCalculus AB/BC - Determining Limits Using the Squeeze Theorem\n

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\nSandwich the video in between lessons. Scholars learn about the Squeeze Theorem, or Sandwich Theorem, in the eighth of 18 videos in Unit 1 - Limits and Continuity. After seeing a few examples, they look at different situations to...\n
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Instructional Video1:37
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\n\"Limits:\n\n
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\nLimits: A Numerical Approach\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nThe sky's the limit — or is it? Viewers learn how to determine limits using a numerical approach through an example in the first installment of a 9-part video series on limits and continuity. The video also introduces formal...\n
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\nTest on Limits and Continuity\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nStudents review concepts of logarithms for their test. In this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.\n \n \n
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Instructional Video11:32
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\nIntroduction to Limits, Limits, Differential Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nSal begins his explanation of limits with a few basic examples and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes...\n
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\nReview of Limits\n

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\nTwelfth graders review limits and continuity. In this calculus lesson, 12th graders review the applications and use of limits and continuity for a test. This assignment contains links that are helpful for the review.\n
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Worksheet
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\nThree Calculus Overview Problems\n

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\nIn this calculus overview activity, students: find the equation of a tangent line, curve sketch, and find limits.  Students should have covered continuity as well.\n
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Instructional Video11:28
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\nThe Precise Definition of the Limit Explained!\n

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\nIt's all Greek to me. Young mathematicians learn how to use the epsilon-delta definition of a limit with a video that shows how to find the relationship between epsilon and delta for a given limit equation.\n
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Instructional Video6:04
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\nHow to Prove that the Limit Does Not Exist\n

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\nCan you prove a negative? In watching the video, individuals learn how to prove that the limit of a function does not exist at a point. The video covers the quintessential example of the limit of f(x) = abs(x)/x as x approaches 0.\n
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Instructional Video4:54
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\nIntermediate Value Theorem to Prove a Root in an Interval\n

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\nViewers os this short video learn how to prove that a root exists in a given interval without having to determine the actual value of the root. Applying the Intermediate Value Theorem is most helpful in this situation.\n
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\n\"Finite\n\n
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\nStefan Warner and Steven R. Costenoble\n
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\nFinite Mathematics & Applied Calculus: Limits and Continuity: Algebraic Approach\n

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\nThe resource investigates limits and continuity using an algebraic approach. Topics examined are closed-form functions and evaluating a limit using simplification. Students learn about the calculus concepts through notes and examples.\n
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\nFinite Mathematics & Applied Calculus: Topic Summaries: Limits and Continuity\n

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\nThe topic summary outlines limits and continuity. Some topics reviewed are limits numerically, limits geometrically, limits algebraically, and continuous functions. The resource consists of definitions, notes, and examples.\n
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\nFinite Mathematics & Applied Calculus: Limits and Continuity\n

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\n\nFor Students\n\n9th - 10th\n
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\nThe resource investigates limits and continuity. Topics examined are left and right limits. Students learn about the calculus concepts through notes and examples.\n
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