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JEE Main Math Class 12 Limits and Derivatives Part 1 Questions
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Question : 97
Total: 100
lim
x
→
0
log
x
n
−
[
x
]
[
x
]
,
n
∈
N
,
(
[
x
]
denotes greatest integer less than or equal to
x
)
[2002]
has value -1
has value 0
has value 1
does not exist
Validate
Solution:
Since,
lim
x
→
0
−
[
x
]
=
−
1
≠
lim
x
→
0
+
[
x
]
=
0
.
So
lim
x
→
0
[
x
]
does not exist, hence the required limit does not exist.
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