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Byju's Answer
Standard XI
Mathematics
L'Hospital Rule to Remove Indeterminate Form
limx → 01 - c...
Question
lim
x
→
0
1
−
cos
x
x
2
i
s
e
q
u
a
l
t
o
A
0
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B
1/4
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C
1/2
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D
1
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Solution
The correct option is
C
1/2
We have,
lim
x
→
0
1
−
cos
x
x
2
This is
0
0
form.
So, apply L-Hospital rule,
lim
x
→
0
0
−
(
−
sin
x
)
2
x
lim
x
→
0
sin
x
2
x
⇒
1
2
lim
x
→
0
sin
x
x
Since,
lim
x
→
0
sin
x
x
=
1
Therefore,
⇒
1
2
×
1
⇒
1
2
Hence, this is the answer.
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