AP Calculus AB Lim 1 E Determine the Limits of Functions Using Equivalent Expressions for the Function or the Squeeze Theorem Topic 1 8 Questions

Practise AP Calculus AB 1.8 squeeze-theorem questions by bounding an unknown function and proving its limit or continuity.

Exam points

apply the squeeze theorem when two bounding functions share the same limit
use matching bounds to justify a limit value and continuity at the point

[Maximum number: 1]

Let f and g be the functions defined by $f(x)=\frac{x^{2}-25}{x^{2}-29}$ and $g(x)=\frac{x+5}{2 x+4}$ . If the function h satisfies $f(x) \leq h(x) \leq g(x)$ for $1 \leq x \leq 5$ , what is $\lim _{x \rightarrow 3} h(x)$ ?

$\frac{1}{2}$

$\frac{4}{5}$

The limit cannot be determined from the given information.

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AP Calculus AB Lim 1 E Determine the Limits of Functions Using Equivalent Expressions for the Function or the Squeeze Theorem Topic 1 8 Questions question 1