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Byju's Answer
Standard XI
Mathematics
Standard Limits to Remove Indeterminate Form
The value of ...
Question
The value of the limit
lim
x
→
0
2
sin
x
−
sin
2
x
x
3
is
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Solution
lim
x
→
0
2
sin
x
−
sin
2
x
x
3
=
lim
x
→
0
2
sin
x
−
2
sin
x
cos
x
x
3
=
lim
x
→
0
2
sin
x
(
1
−
cos
x
)
x
3
=
2
lim
x
→
0
sin
x
x
×
(
1
−
cos
x
)
x
2
=
2
×
1
×
lim
x
→
0
2
sin
2
(
x
/
2
)
x
2
=
lim
x
→
0
sin
2
(
x
/
2
)
x
2
/
4
=
(
lim
x
2
→
0
sin
x
/
2
x
/
2
)
2
=
1
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