Chapter 2 Test Flashcards Preview

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Flashcards in Chapter 2 Test Deck (20):
1

What is the limit of the function in the graph at x = 4?

2

2

What is the limit of the function in the graph at x = 4?

The limit does not exist.

3

For what value(s) of x does the function in the graph not have a limit?

4 and 6

4

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) 10 20 24 22 18

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?

1 ft / s^2

5

Suppose that lim x→−1 3−4x=7.
Find the largest value of δ such that |(3−4x)−7|

0.0005

6

Suppose that lim x→a f(x)=32,
lim x→a g(x)=68, and lim x→a h(x)=10. Then lim x→a f(x)+g(x)/h(x) is equal to which of the following?

10

7

f(x)={3x, x<2
−x+4, x>2
Evaluate lim x→2− f(x).

6

8

f(x)=√x^2−4
Evaluate lim x→2− f(x).

The limit doesn't exist

9

Consider the function,
f(t)= t^2+1 if −1≤t<1
−t+1 if 1≤t<2
−1 if t>2
The set of points in the domain of f at which f is continuous is which of the following?

[−1, 1), (1, 2), (2, ∞)

10

Determine, if it exists, lim x→3 sin (x−3)/√x+6 .

0

11

Determine, if it exists, lim x→ −2 x−2/x^2−4.

The limit does not exist.

12

Determine, if it exists, lim x→2 x^2−5x+6 / x^2−4.

-1/4

13

Determine, if it exists, lim x→3 x^2−5x+6 / x^2−6x+9.

The limit does not exist.

14

Determine, if it exists, lim x→2 x−5+6/x / x−4/x.

-1/4

15

Determine, if it exists, lim x→3
1/x−5/x^2+6/x^3 / x−6/x^2 + 9x^3.

The limit does not exist.

16

Determine, if it exists, lim x→0 x^2−x / √x+1 −1.

-2

17

Determine, if it exists, limx→2 √x+7 −3 / x^2−4x+4.

The limit does not exist.

18

Evaluate the following as true or false.The notation lim x→2 f(x)=5 states that the limit of the function f at x=5 is 2.

false

19

What is the limit of the function in the graph at x = 4?

The limit does not exist.

20

For what value(s) of x does the function given in the graph not have a limit?

x = 4

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