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Byju's Answer
Standard XII
Mathematics
Standard Limits to Remove Indeterminate Form
lim x → 0sinπ...
Question
lim
x
→
0
s
i
n
(
π
c
o
s
2
x
)
x
2
equals
A
−
π
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B
π
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C
π
2
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D
1
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Solution
The correct option is
B
π
lim
x
→
0
s
i
n
(
π
c
o
s
2
x
)
x
2
lim
x
→
0
s
i
n
(
π
−
π
s
i
n
2
x
)
x
2
[
s
i
n
(
π
−
θ
)
=
s
i
n
θ
]
=
lim
x
→
0
s
i
n
(
π
s
i
n
2
x
)
π
s
i
n
2
x
×
(
π
s
i
n
2
x
)
x
2
=
π
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