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Byju's Answer
Standard XII
Mathematics
Expansions to Remove Indeterminate Form
Ltx → 0=sinπ/...
Question
L
t
x
→
0
=
s
i
n
(
π
5
+
x
)
−
s
i
n
(
π
5
−
x
)
x
is equal to
A
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B
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C
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D
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Solution
The correct option is
C
L
t
x
→
0
2
c
o
s
π
5
s
i
n
(
x
)
x
=
2
c
o
s
π
5
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0
Similar questions
Q.
lim
x
→
0
sin
x
×
sin
(
π
3
+
x
)
sin
(
π
3
−
x
)
x
Q.
The period of
sin
π
[
x
]
12
+
cos
π
[
x
]
4
+
tan
π
[
x
]
3
where
[
x
]
represents the greatest integer less than or equal to
x
is
Q.
Let
Q
=
⎡
⎢ ⎢
⎣
cos
π
4
−
sin
π
4
sin
π
4
cos
π
4
⎤
⎥ ⎥
⎦
and
x
=
⎡
⎢ ⎢ ⎢ ⎢
⎣
1
√
2
1
√
2
⎤
⎥ ⎥ ⎥ ⎥
⎦
then
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x
is equal to
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The value of
⎛
⎜ ⎜ ⎜
⎝
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2
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+
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(
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x
)
cos
(
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−
x
)
−
sin
(
π
2
−
x
)
⎞
⎟ ⎟ ⎟
⎠
2
is
Q.
What is
⎡
⎢ ⎢ ⎢ ⎢
⎣
sin
π
6
+
i
(
1
−
cos
π
6
)
sin
π
6
−
i
(
1
−
cos
π
6
)
⎤
⎥ ⎥ ⎥ ⎥
⎦
3
where
i
=
√
−
1
, equal to?
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