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AP Calculus BC 1.6 Algebraic Limits Overview

Evaluate limits by rewriting equivalent expressions, factoring, rationalising and applying trigonometric limits or the squeeze theorem.

Syllabus
Effective Fall 2025
Course
AP Calculus BC

Exam points

  • connect derivative evidence to function behavior and interpretation
  • justify a calculus conclusion from symbolic, graphical or contextual evidence

Covered syllabus points

LIM-1.E—Determine the limits of functions using equivalent expressions for the function or the squeeze theorem

1.6 Determining Limits Using Algebraic Manipulation question 1

[Maximum number: 1]

If a is a nonzero constant, then lim⁡x→ax−aa2−x2\lim _{x \rightarrow a} \frac{x-a}{a^{2}-x^{2}} is

A

0

B

−12a-\frac{1}{2 a}

C

−1a-\frac{1}{a}

D

nonexistent

Figure for Question 1.6 Determining Limits Using Algebraic Manipulation question 1 — AP Calculus BC
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