AP Calculus AB Lim 4 A Determine Limits of Functions That Result in Indeterminate Forms Questions

Practise indeterminate-limit questions by checking the form and applying L’Hospital’s Rule when its conditions are met.

Exam points

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

[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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AP Calculus AB Lim 4 A Determine Limits of Functions That Result in Indeterminate Forms Questions question 1