AP Calculus AB Quiz
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LIMITS AND CONTINUITY
Question 1
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Let
f
(
x
)
=
2
x
(
x
−
4
)
f(x)=\dfrac{2}{x(x-4)}
f
(
x
)
=
x
(
x
−
4
)
2
. Which limit notation matches the behavior as
x
→
4
+
x\to 4^+
x
→
4
+
?
A
lim
x
→
4
+
f
(
x
)
=
+
∞
\displaystyle \lim_{x\to 4^+} f(x)=+\infty
x
→
4
+
lim
f
(
x
)
=
+
∞
B
lim
x
→
4
−
f
(
x
)
=
+
∞
\displaystyle \lim_{x\to 4^-} f(x)=+\infty
x
→
4
−
lim
f
(
x
)
=
+
∞
C
f
(
4
)
=
+
∞
\displaystyle f(4)=+\infty
f
(
4
)
=
+
∞
D
lim
x
→
4
+
f
(
x
)
=
−
∞
\displaystyle \lim_{x\to 4^+} f(x)=-\infty
x
→
4
+
lim
f
(
x
)
=
−
∞
E
lim
x
→
0
+
f
(
x
)
=
+
∞
\displaystyle \lim_{x\to 0^+} f(x)=+\infty
x
→
0
+
lim
f
(
x
)
=
+
∞
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