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Flashcards in Chapter 2 Test Deck (20)
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1
Q

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

A

2

2
Q

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

A

The limit does not exist.

3
Q

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

A

4 and 6

4
Q

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?

A

1 ft / s^2

5
Q

Suppose that lim x→−1 3−4x=7.

Find the largest value of δ such that |(3−4x)−7|

A

0.0005

6
Q

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?

A

10

7
Q

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

A

6

8
Q

f(x)=√x^2−4

Evaluate lim x→2− f(x).

A

The limit doesn’t exist

9
Q
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?
A

[−1, 1), (1, 2), (2, ∞)

10
Q

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

A

0

11
Q

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

A

The limit does not exist.

12
Q

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

A

-1/4

13
Q

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

A

The limit does not exist.

14
Q

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

A

-1/4

15
Q

Determine, if it exists, lim x→3

1/x−5/x^2+6/x^3 / x−6/x^2 + 9x^3.

A

The limit does not exist.

16
Q

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

A

-2

17
Q

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

A

The limit does not exist.

18
Q

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.

A

false

19
Q

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

A

The limit does not exist.

20
Q

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

A

x = 4

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