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Mathematics
Mathematics
Problem
Consider the function
g
(
x
)
=
∣
x
−
2
∣
3
g(x)=|x-2|^{3}
g
(
x
)
=
∣
x
−
2
∣
3
. (i) Verify that
g
g
g
is continuous at
x
=
2
x=2
x
=
2
. (ii) Find
g
′
(
2
)
g'(2)
g
′
(
2
)
and hence state whether
g
g
g
is differentiable at
x
=
2
x=2
x
=
2
.
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