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Mathematics
Problem
Describe why the function
g
(
x
)
=
(
x
−
2
)
1
/
3
g(x)=(x-2)^{1/3}
g
(
x
)
=
(
x
−
2
)
1/3
is continuous at
x
=
2
x=2
x
=
2
but fails to be differentiable at that point.
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