AP Calculus AB 4.7 Using Lhospitals Rule for Determining Limits of Indeterminate Forms Questions

Review AP Calculus AB 4.7 by recognising indeterminate forms, checking when L’Hospital’s Rule applies, and evaluating the resulting limit accurately.

Exam points

recognise indeterminate forms and verify when L’Hospital’s Rule applies
evaluate the resulting limit and justify the selected method

Covered syllabus points

LIM-4.A—Determine limits of functions that result in indeterminate forms

[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