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AP Calculus BC›Unit 1: Limits and Continuity›Limits

Finding Limits Algebraically

Most limits come from limit laws plus algebra: factor and cancel, rationalize, or simplify complex fractions until direct substitution works.

Limit laws
Factoring and canceling
Rationalizing and conjugates

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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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The Squeeze Theorem

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Also called: limit laws, properties of limits, algebraic limits, evaluating limits, factoring limits