By William Ma — McGraw-Hill Professional

Updated on Oct 24, 2011

Review this concept at Limits and Continuity Rapid Review for AP Calculus.

Review the following concepts if needed:

- Definition and Properties of Limits for AP Calculus
- Evaluating Limits for AP Calculus
- One-Sided Limits for AP Calculus
- Squeeze Theorem for AP Calculus
- Infinite Limits for AP Calculus
- Limits at Infinity for AP Calculus
- Horizontal and Vertical Asymptotes for AP Calculus
- Continuity of a Function for AP Calculus

**Part A The use of a calculator is not allowed.**

Find the limits of the following:

- The graph of a function
*f*is shown in Figure 5.5-1. *x*=4 is not in the domain of*f*

Which of the following statements is/are true?

**Part B Calculators are allowed.**

- Find the horizontal and vertical asymptotes of the graph of the function
- Find the limit: is the greatest integer of
*x*. - Find the points of discontinuity of the function
- For what value of
*k*is the function - Determine if is continuous at
*x*=2. Explain why or why not. - Given
*f*(*x*) as shown in Figure 5.5-2, find*f*(3)- Is
*f*(*x*) continuous at*x*=3? Explain why or why not.

- A function
*f*is continuous on [–2, 2] and some of the values of*f*are shown below: - –3
- –2
- –1
- 0
- 1

If *f* has only one root, *r*, on the closed interval [–2, 2], and *r* ≠ 0, then a possible value of *b* is

- Write an equation of the line passing through the point (2, – 4) and perpendicular to the line 3
*x*– 2*y*=6. - The graph of a function
*f*is shown in Figure 5.6-1. Which of the following statements is/are true?*x*= 4 is not in the domain of*f*.- does not exist.

- Find the horizontal and vertical asymptotes of

Solutions for these practice problems can be found at Limits and Continuity Solutions to Practice Problems for AP Calculus.

From 5 Steps to a 5 AP Calculus AB and BC. Copyright © 2010 by The McGraw-Hill Companies. All Rights Reserved.

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