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Mathematics
Mathematics
Problem
Which of the following limit statements guarantees that the graph of a function
f
f
f
has a vertical asymptote at
x
=
3
x=3
x
=
3
? a)
lim
x
→
3
f
(
x
)
=
0
\displaystyle\lim_{x\to 3}f(x)=0
x
→
3
lim
f
(
x
)
=
0
b)
lim
x
→
3
−
f
(
x
)
=
5
and
lim
x
→
3
+
f
(
x
)
=
7
\displaystyle\lim_{x\to 3^-}f(x)=5\text{ and }\lim_{x\to 3^+}f(x)=7
x
→
3
−
lim
f
(
x
)
=
5
and
x
→
3
+
lim
f
(
x
)
=
7
c)
lim
x
→
3
f
(
x
)
=
∞
\displaystyle\lim_{x\to 3}f(x)=\infty
x
→
3
lim
f
(
x
)
=
∞
d)
lim
x
→
∞
f
(
x
)
=
3
\displaystyle\lim_{x\to \infty}f(x)=3
x
→
∞
lim
f
(
x
)
=
3
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