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Army Group X Practice Set 4
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© examsnet.com
Question : 67
Total: 70
lim
x
→
0
1
−
cos
x
x
2
=
?
2
3
1
2
1
3
Validate
Solution:
lim
x
→
0
1
−
cos
x
x
2
=
lim
x
→
0
1
−
1
+
2
sin
2
x
2
x
2
[
∵
cosx
=
1
−
2
sin
2
x
2
]
=
lim
x
→
0
2.
sin
2
x
2
x
2
=
lim
x
→
0
2.
sin
2
x
2
4
×
(
x
2
)
2
=
1
2
lim
x
→
0
(
sin
x
2
x
2
)
2
=
1
2
×
(
1
)
2
[
∵
lim
θ
→
0
sin
θ
θ
=
1
]
=
1
2
© examsnet.com
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