AP Calculus BC 1.5 Determining Limits Using Algebraic Properties of Limits Questions

Use limit theorems and algebraic properties to evaluate one-sided and two-sided limits and decide when a limit does not exist.

Exam points

interpret limits and end behavior from algebraic or graphical evidence
use one-sided limits and continuity conditions to justify conclusions

Covered syllabus points

LIM-1.D—Determine the limits of functions using limit theorems

[Maximum number: 1]

The functions f(x), g(x), and h(x) have derivatives of all orders. Listed above are values for the functions and their first and second derivatives at x=3. Find $\lim _{x \rightarrow 3} \frac{(f(x))^{2}-3 h(x)}{g(x)+h(x)}$ .

$-\frac{1}{5}$

$\frac{1}{2}$

nonexistent

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Covered syllabus points

Question 1