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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
−
1
(
x
−
3
)
2
f(x)=\dfrac{x-1}{(x-3)^2}
f
(
x
)
=
(
x
−
3
)
2
x
−
1
. Which statement about
lim
x
→
3
f
(
x
)
\displaystyle \lim_{x\to3}f(x)
x
→
3
lim
f
(
x
)
is true? a) The limit equals
−
∞
-\infty
−
∞
. b) The limit equals
0
0
0
. c) The limit equals
∞
\infty
∞
. d) The limit does not exist; one-sided limits have opposite signs.
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