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Byju's Answer
Standard XII
Mathematics
Theorems for Continuity
If fx=sin x...
Question
If
f
(
x
)
=
sin
x
x
,
x
≠
0
is to be continuous at
x
=
0
then
f
(
0
)
=
A
0
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B
1
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C
−
1
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D
2
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Solution
The correct option is
B
1
From the property of limits,
L
i
m
x
→
0
s
i
n
x
x
=
1
Thus, for the function to be continuous at
x
=
0
f
(
0
)
=
1
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0
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