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Byju's Answer
Standard XII
Mathematics
Existence of Limit
The value of ...
Question
The value of
lim
x
→
3
(
x
1
3
+
3
√
3
)
(
x
1
3
−
3
√
3
)
x
−
3
is
1
9
.
A
True
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B
False
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Solution
The correct option is
A
True
We have,
lim
x
→
3
(
x
1
3
+
3
√
3
)
(
x
1
3
−
3
√
3
)
x
−
3
On apply L-hospital rule, we get
lim
x
→
3
(
1
3
x
−
2
3
+
0
)
(
1
3
x
−
2
3
−
0
)
1
−
0
lim
x
→
3
(
1
3
x
−
2
3
)
(
1
3
x
−
2
3
)
1
Therefore,
=
1
3
(
1
)
−
2
/
3
×
1
3
(
1
)
−
2
/
3
=
1
9
Hnece, this is the answer.
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0
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Q.
lim
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(
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√
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)
(
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Q.
Solve:
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