These 3️⃣ criteria ✅guarantee✅ continuity 💪💪 #apcalculus #apcalc #unit1 #shorts

We tackle Topic 1.11 of AP Calculus, which is all about the continuity of functions. We outline the conditions that a function f must meet in order to be considered continuous at a specific point x=c.

First, the function must be defined at c, ensuring no discontinuities exist at this point. Second, the limit must exist at c, which involves the convergence of both right-hand and left-hand limits to a singular value, which is the only way that the general limit exists. Third, the function's value at c must precisely match the limit value. If the function meets these three criteria, then it's continuous at c.

#APCalculus #Continuity #MathEducation #StudyTips #CalculusConcepts

Unit 1 of AP Calculus is all about Limits and Continuity:
1.1 Introducing Calculus: Can Change Occur at an Instant?
1.2 Defining Limits and Using Limit Notation
1.3 Estimating Limit Values from Graphs
1.4 Estimating Limit Values from Tables
1.5 Determining Limits Using Algebraic Properties of Limits
1.6 Determining Limits Using Algebraic Manipulation
1.7 Selecting Procedures for Determining Limits
1.8 Determining Limits Using the Squeeze Theorem
1.9 Connecting Multiple Representations of Limits
1.10 Exploring Types of Discontinuities
1.11 Defining Continuity at a Point
1.12 Confirming Continuity over an Interval
1.13 Removing Discontinuities
1.14 Connecting Infinite Limits and Vertical Asymptotes
1.15 Connecting Limits at Infinity and Horizontal Asymptotes
1.16 Working with the Intermediate Value Theorem (IVT)

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Видео These 3️⃣ criteria ✅guarantee✅ continuity 💪💪 #apcalculus #apcalc #unit1 #shorts канала Krista King