Chapter 2 Practice Test Flashcards Preview

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Flashcards in Chapter 2 Practice Test Deck (20):
1

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

6

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?

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)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

5

Suppose that lim x→3 2x−1=5.
Find the largest value of δ such
that |(2x−1)−5|

0.0005

6

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

7

f(x)={2x−3, x<1
x+1, x>1
Evaluate lim x→1 −f(x).

-1

8

f(x)=√3x−6 Evaluate lim x→2+ f(x).

0

9

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)

10

Determine, if it exists, lim x→3 x^2+1/x+3 .

10/6

11

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

The limit does not exist.

12

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

−1/4

13

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

0

14

Determine, if it exists, lim x→ −2 1+2/x / x−4x.

−1/4

15

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

0

16

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

4

17

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

0

18

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

19

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

x = 4

20

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

x = 4,6

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