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Mathematics
Problem
Show that
f
(
x
)
f(x)
f
(
x
)
is continuous but not differentiable at
x
=
0
x = 0
x
=
0
, where:
Condition
f
(
x
)
f(x)
f
(
x
)
x
≠
0
x \neq 0
x
=
0
x
sin
1
x
x \sin \frac{1}{x}
x
sin
x
1
x
=
0
x = 0
x
=
0
0
0
0
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