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Byju's Answer
Standard XI
Mathematics
Standard Limits to Remove Indeterminate Form
limx→∞x3-cosx...
Question
lim
x
→
∞
x
3
−
c
o
s
x
x
2
+
(
s
i
n
x
)
2
equal
A
∞
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B
0
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C
2
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D
does not exist
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Solution
The correct option is
A
∞
lim
x
→
∞
x
3
−
c
o
s
x
x
2
+
(
s
i
n
x
)
2
=
lim
x
→
∞
1
−
c
o
s
x
x
3
x
2
x
3
+
(
s
i
n
x
)
2
x
3
=
lim
x
→
∞
1
−
c
o
s
x
x
3
1
x
+
(
s
i
n
x
)
2
x
3
=
1
−
0
1
∞
+
0
=
1
0
lim
x
→
∞
x
3
−
c
o
s
x
x
2
+
(
s
i
n
x
)
2
=
∞
Suggest Corrections
3
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