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AP Calculus AB›Unit 1: Limits and Continuity›Continuity and asymptotes

Infinite Limits and Vertical Asymptotes

When a function grows without bound near a point, its limit is infinite and the graph has a vertical asymptote there.

Limits that equal ±∞
Finding vertical asymptotes
Sign analysis near the asymptote

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1Limits and Continuity

Introducing Calculus: Change at an Instant
What a Limit Means
Estimating Limits from Graphs and Tables
Finding Limits Algebraically
The Squeeze Theorem
Types of Discontinuity
Continuity at a Point and on an Interval
Infinite Limits and Vertical Asymptotes
Limits at Infinity
Intermediate Value Theorem

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Limits at Infinity

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1Equitable Equations
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3XO Math
4Vincent Bouchard

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Also called: infinite limits, vertical asymptotes