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Mathematics
Mathematics
Problem
For the function defined by
f
(
x
)
=
∣
x
∣
x
f(x)=\dfrac{|x|}{x}
f
(
x
)
=
x
∣
x
∣
for
x
≠
0
x\ne 0
x
=
0
and with
f
(
0
)
f(0)
f
(
0
)
undefined, identify the type of discontinuity at
x
=
0
x=0
x
=
0
.
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