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Byju's Answer
Standard XII
Mathematics
Indeterminate Forms
If L=limx→-∞√...
Question
If
L
=
lim
x
→
−
∞
√
25
x
2
−
3
x
+
5
x
, then the value of
[
1
L
]
is
(where
[
.
]
denotes greatest integer function)
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Solution
L
=
lim
x
→
−
∞
√
25
x
2
−
3
x
+
5
x
,
(
∞
−
∞
form
)
=
lim
x
→
−
∞
25
x
2
−
3
x
−
25
x
2
√
25
x
2
−
3
x
−
5
x
=
lim
x
→
−
∞
−
3
x
−
x
(
√
25
−
3
x
)
−
5
x
(
∵
x
→
−
∞
⇒
|
x
|
=
−
x
)
=
3
√
25
−
0
+
5
=
3
10
∴
[
1
L
]
=
3
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6
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Standard XII Mathematics
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