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UPSC NDA 2 2012 Mathematics Paper
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© examsnet.com
Question : 62
Total: 120
What is
lim
x
→
0
2
(
1
−
cos
x
)
x
2
equal to?
0
1
2
1
4
1
Validate
Solution:
lim
x
→
0
2
(
1
−
cos
x
)
x
2
=
lim
x
→
0
2
×
2
s
i
n
2
x
∕
2
x
2
=
lim
x
→
0
(
s
i
n
x
∕
2
x
∕
2
)
2
=
1
.
© examsnet.com
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