AP Calculus BC Quiz
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LIMITS AND CONTINUITY
Question 1
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Let
p
(
x
)
=
sin
(
1
x
)
p(x)=\sin\!\left(\frac{1}{x}\right)
p
(
x
)
=
sin
(
x
1
)
for
x
≠
0
x\ne 0
x
=
0
and
p
(
0
)
=
0
p(0)=0
p
(
0
)
=
0
. What type of discontinuity occurs at
x
=
0
x=0
x
=
0
?
A
Oscillating discontinuity
B
Jump discontinuity
C
Infinite discontinuity
D
Removable discontinuity
E
No discontinuity
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