AP Calculus AB: Chapter 2 Practice Test
This flashcard set explores evaluating limits using graphical data, tables, and piecewise functions. It includes identifying when limits do or do not exist, understanding discontinuities, estimating values using numerical data, and applying the epsilon-delta definition conceptually.
What is the limit of the function in the graph at x = 4?
6
Key Terms
What is the limit of the function in the graph at x = 4?
6
What is the limit of the function in the graph at x = 4?
The limit does not exist.
For what value(s) of x does the function in the graph not have a limit?
6
The velocity of the cyclist in feet per second as a function of time is given in the table below.
t 0 1 2 3 4
f(t)5 10 12 11 9
The approximate acceleration (rate of change of the velocity with respect to time) of the cyclist at time t = 2 seconds is which of the following?
None of the above
Suppose that lim x→3 2x−1=5.
Find the largest value of δ such
that |(2x−1)−5|
0.0005
Suppose that lim x→a f(x)=500,
lim x→a g(x)=6, and lim x→a h(x)=0.06. Then lim x→a f(x)h(x)g(x) is equal to which of the following?
5
Related Flashcard Decks
Study Tips
- Press F to enter focus mode for distraction-free studying
- Review cards regularly to improve retention
- Try to recall the answer before flipping the card
- Share this deck with friends to study together
| Term | Definition |
|---|---|
What is the limit of the function in the graph at x = 4? | 6 |
What is the limit of the function in the graph at x = 4? | The limit does not exist. |
For what value(s) of x does the function in the graph not have a limit? | 6 |
The velocity of the cyclist in feet per second as a function of time is given in the table below. | None of the above |
Suppose that lim x→3 2x−1=5. | 0.0005 |
Suppose that lim x→a f(x)=500, lim x→a g(x)=6, and lim x→a h(x)=0.06. Then lim x→a f(x)h(x)g(x) is equal to which of the following? | 5 |
f(x)={2x−3, x<1 | -1 |
f(x)=√3x−6 Evaluate lim x→2+ f(x). | 0 |
Which of the following is a necessary and sufficient condition for a function, f, to be continuous at the point x = 4? | lim x→4 f(x)=f(4) |
Determine, if it exists, lim x→3 x^2+1/x+3 . | 10/6 |
Determine, if it exists, lim x→3 x+1/x^2−9 . | The limit does not exist. |
Determine, if it exists, lim x→ −2 x+2/x^2−4. | −1/4 |
Determine, if it exists, lim x→3 x^2−6x+9/x^2−9. | 0 |
Determine, if it exists, lim x→ −2 1+2/x / x−4x. | −1/4 |
Determine, if it exists, lim x→3 1−6/x+9/x^2 / 1−9/x^2. | 0 |
Determine, if it exists, lim x→4 x−4/√x−2. | 4 |
Determine, if it exists, lim x→1 x^2−2x+1 / √x+3 −2. | 0 |
Evaluate the following as a true or false. The limit of a function f (x) at x = 2 is always the value of the function at x = 2, that is f (2). | false |
For what value(s) of x does the function in the graph not have a limit? | x = 4 |
For what value(s) of x does the function in the graph not have a limit? | x = 4,6 |