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Mathematics
Mathematics
Problem
For
x
≠
0
x\ne 0
x
=
0
, let
g
(
x
)
=
sin
4
x
x
g(x)=\dfrac{\sin 4x}{x}
g
(
x
)
=
x
sin
4
x
. Determine the value that should be defined for
g
(
0
)
g(0)
g
(
0
)
so that
g
g
g
is continuous at
x
=
0
x=0
x
=
0
.
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