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Byju's Answer
Standard XII
Mathematics
Implicit Differentiation
Evaluate x→...
Question
Evaluate
l
i
m
x
→
2
{
x
+
(
x
−
[
x
]
)
2
}
, where
[
x
]
denotes greatest integer function.
A
1
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B
0
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C
-1
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D
does not exist
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Solution
The correct option is
C
does not exist
[
2
+
h
]
=
2
,
[
2
−
h
]
=
1
R
=
l
i
m
h
→
0
{
2
+
h
+
(
2
+
h
−
2
)
2
}
=
2
L
=
l
i
m
h
→
0
{
2
−
h
+
(
2
−
h
−
1
)
2
}
=
3
R
.
H
.
S
≠
L
.
H
.
S
∴
limit does not exist.
Ans: D
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0
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If true enter 1, else enter 0.
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