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AP Calculus BC 1.6: Algebraic Limits

Practise AP Calculus BC 1.6 questions by rewriting rational, radical and trigonometric expressions to resolve indeterminate forms and evaluate limits.

Syllabus
Effective Fall 2025
Course
AP Calculus BC

Exam points

  • Factor and cancel equivalent expressions before evaluating limits with removable discontinuities.
  • Rationalise radical forms or apply trigonometric identities to resolve 0/0 limits.

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

[Maximum number: 1]

If a is a nonzero constant, then limxaxaa2x2\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 LIM-1.E—Determine the limits of functions using equivalent expressions for the function or the squeeze theorem question 1 — AP Calculus BC
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