Check f (x) = sin 1/x , x not equal to 0 is continuous
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Step-by-step explanation:
It is not continuous at
0
.
Explanation:
f
is continuous at
a
if and only if
lim
x
→
a
f
(
x
)
=
f
(
a
)
If
f
(
a
)
does not exist, then
f
is not continuous at
a
.
Since
0
sin
(
1
0
)
does not exists,
x
sin
(
1
x
)
is not continuous at
0
.
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