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Mathematics
Problem
Explain why the product
f
(
x
)
g
(
x
)
f(x)g(x)
f
(
x
)
g
(
x
)
is continuous at
x
=
c
x=c
x
=
c
if both
f
f
f
and
g
g
g
are continuous at
x
=
c
x=c
x
=
c
.
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