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Byju's Answer
Standard XII
Mathematics
Existence of Limit
If [x] denote...
Question
If [x] denotes the greatest interget not greater than x, then
lim
x
→
2
[
x
]
is :
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Solution
Solution-
L
H
L
→
lim
x
→
2
[
x
]
=
1
R
H
L
→
lim
x
→
2
[
x
]
=
2
L
H
L
≠
R
H
L
Limit does not exists.
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Similar questions
Q.
If [x] denotes the greatest integer less than or equal to x; then the
lim
x
→
1
(
1
−
x
+
[
x
−
1
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+
[
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−
x
]
)
is:
Q.
If
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If
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[
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for
[
x
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≠
0
0
for
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where
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denotes the greatest integer less than or equal to x, then
lim
x
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x
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Q.
The domain of the function
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Q.
If
[
x
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denotes the greatest integer less than or equal to
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