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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
(
x
−
2
)
sin
(
x
−
2
)
x
−
2
g(x)=\dfrac{(x-2)\sin(x-2)}{x-2}
g
(
x
)
=
x
−
2
(
x
−
2
)
sin
(
x
−
2
)
for
x
≠
2
x\ne 2
x
=
2
. Does the graph of
g
g
g
have a vertical asymptote at
x
=
2
x=2
x
=
2
? Briefly justify your answer.
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