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Mathematics
Mathematics
Problem
For
x
≠
0
x\neq0
x
=
0
, let
g
(
x
)
=
sin
(
2
x
)
x
g(x)=\dfrac{\sin(2x)}{x}
g
(
x
)
=
x
sin
(
2
x
)
. Which value of
g
(
0
)
g(0)
g
(
0
)
will make
g
g
g
continuous at
x
=
0
x=0
x
=
0
? a)
1
1
1
b)
2
2
2
c) The limit does not exist, so no value will make
g
g
g
continuous. d)
0
0
0
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