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Mathematics
Problem
Explain, in one or two sentences, why the function
g
(
x
)
=
sin
x
x
g(x)=\dfrac{\sin x}{x}
g
(
x
)
=
x
sin
x
can be made continuous at
x
=
0
x=0
x
=
0
by defining
g
(
0
)
=
1
g(0)=1
g
(
0
)
=
1
.
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