♾️Infinite limits or limits at ♾️infinity??!! 💁‍♀️ #apcalculus #apcalc #unit1 #shorts

When a function has a vertical asymptote at x=a, the limit as x approaches a will be positive infinity from both sides, negative infinity from both sides, or positive infinity from one side and negative infinity from the other side.

But when a function has a horizontal asymptote at y=b, then the limit as x approaches positive or negative infinity will be equal to b. We also call this the end behavior of the function, so the end behavior would be that the function is approaching b.

Make sure you understand where the infinite values appear in the limits for both vertical and horizontal asymptotes before you take the AP test.

#Functions #Asymptotes #Calculus #MathEducation #StudyTips

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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For extra help with your AP Calc (AB or BC), get my Ultimate Review Packet to help you review all year long and get prepared for the AP test:

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BC: https://www.ultimatereviewpacket.com/courses/calculus-bc

Видео ♾️Infinite limits or limits at ♾️infinity??!! 💁‍♀️ #apcalculus #apcalc #unit1 #shorts канала Krista King