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Mathematics
Mathematics
Problem
For the graph of a function
f
f
f
, which of the following conditions guarantees that the line
x
=
c
x=c
x
=
c
is a vertical asymptote? a)
lim
x
→
c
f
(
x
)
=
0
\displaystyle \lim_{x\to c} f(x)=0
x
→
c
lim
f
(
x
)
=
0
b)
lim
x
→
∞
f
(
x
)
=
c
\displaystyle \lim_{x\to\infty} f(x)=c
x
→
∞
lim
f
(
x
)
=
c
c)
lim
x
→
c
f
(
x
)
=
∞
\displaystyle \lim_{x\to c} f(x)=\infty
x
→
c
lim
f
(
x
)
=
∞
d)
f
′
(
c
)
=
∞
\displaystyle f'(c)=\infty
f
′
(
c
)
=
∞
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