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Mathematics
Mathematics
Problem
Which of the following limit statements is sufficient to conclude that the graph of a differentiable function
f
f
f
has a vertical asymptote at
x
=
2
x=2
x
=
2
? a)
lim
x
→
2
f
(
x
)
=
0
\displaystyle \lim_{x\to 2} f(x)=0
x
→
2
lim
f
(
x
)
=
0
b)
lim
x
→
2
+
f
(
x
)
=
∞
\displaystyle \lim_{x\to 2^{+}} f(x)=\infty
x
→
2
+
lim
f
(
x
)
=
∞
c)
lim
x
→
2
f
(
x
)
does not exist
\displaystyle \lim_{x\to 2} f(x)\;\text{does not exist}
x
→
2
lim
f
(
x
)
does not exist
d)
lim
x
→
2
−
f
(
x
)
=
−
3
\displaystyle \lim_{x\to 2^{-}} f(x)=-3
x
→
2
−
lim
f
(
x
)
=
−
3
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