Calculus 1 Quiz
20 questions · no time limit
0:00
Finish quiz
LIMITS & CONTINUITY
Question 1
of 20
Flag for review
No time limit
Current
Answered
Flagged
Not seen
Let
f
(
x
)
=
{
sin
(
x
)
∣
x
∣
x
≠
0
a
x
=
0
f(x) = \begin{cases} \frac{\sin(x)}{|x|} & x \ne 0 \\ a & x=0 \end{cases}
f
(
x
)
=
{
∣
x
∣
s
i
n
(
x
)
a
x
=
0
x
=
0
. Which statement best describes the continuity of
f
(
x
)
f(x)
f
(
x
)
at
x
=
0
x=0
x
=
0
?
A
The function is continuous at
x
=
0
x=0
x
=
0
if
a
=
1
a=1
a
=
1
.
B
The function is continuous at
x
=
0
x=0
x
=
0
if
a
=
0
a=0
a
=
0
.
C
The function has a jump discontinuity at
x
=
0
x=0
x
=
0
for any value of
a
a
a
.
D
The function has a removable discontinuity at
x
=
0
x=0
x
=
0
if
a
=
1
a=1
a
=
1
.
YOUR PROGRESS
20
QUESTIONS
Ready when you are
Answer in any order. Your progress shows here as you go.
QUESTIONS
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
KEYBOARD
Pick an answer
A
B
C
D
Next question
↵
→
Previous
←
Flag for review
F