Calculus 1 Quiz
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LIMITS & CONTINUITY
Question 1
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Given
lim
x
→
2
f
(
x
)
−
5
x
−
2
=
3
\lim_{x \to 2} \frac{f(x) - 5}{x - 2} = 3
lim
x
→
2
x
−
2
f
(
x
)
−
5
=
3
, which of the following statements must be true?
A
f
(
2
)
f(2)
f
(
2
)
is undefined.
B
lim
x
→
2
f
(
x
)
=
5
\lim_{x \to 2} f(x) = 5
lim
x
→
2
f
(
x
)
=
5
C
The graph of
f
(
x
)
f(x)
f
(
x
)
has a vertical asymptote at
x
=
2
x=2
x
=
2
.
D
lim
x
→
2
f
(
x
)
=
3
\lim_{x \to 2} f(x) = 3
lim
x
→
2
f
(
x
)
=
3
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