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Byju's Answer
Standard XII
Mathematics
Standard Limits to Remove Indeterminate Form
Value of x→∞l...
Question
Value of
lim
x
→
∞
(
x
2
+
2
x
−
1
2
x
2
−
3
x
−
2
)
2
x
+
1
2
x
−
1
is
A
It does not exist
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B
0
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C
−
2
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D
1
2
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Solution
The correct option is
D
1
2
lim
x
→
∞
(
x
2
+
2
x
−
1
2
x
2
−
3
x
−
2
)
2
x
+
1
2
x
−
1
=
lim
x
→
∞
⎛
⎜ ⎜ ⎜
⎝
1
+
2
x
−
1
x
2
2
−
3
x
−
2
x
2
⎞
⎟ ⎟ ⎟
⎠
2
+
1
x
2
−
1
x
=
1
2
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Q.
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