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AP Calculus AB Lim 3 A Interpret a Limit As a Definition of a Derivative Questions

Practise AP Calculus AB derivative questions by interpreting difference quotients and limits as derivative definitions.

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

  • interpret a difference quotient limit as the derivative at a point
  • use the limit definition to connect secant slopes with instantaneous rate

AP Calculus AB Lim 3 A Interpret a Limit As a Definition of a Derivative Questions question 1

[Maximum number: 1]

lim⁡h→0sin⁡(π3+h)−sin⁡(π3)h\lim _{h \rightarrow 0} \frac{\sin \left(\frac{\pi}{3}+h\right)-\sin \left(\frac{\pi}{3}\right)}{h} is

A

0

B

12\frac{1}{2}

C

1

D

32\frac{\sqrt{3}}{2}

E

nonexistent

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