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AIEEE 2002 Math Solved Paper
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© examsnet.com
Question : 61
Total: 74
lim
x
→
0
√
1
−
cos
2
x
√
2
x
is
1
−
1
zero
does not exit
Validate
Solution:
lim
√
1
−
cos
2
x
√
2
x
⇒
lim
√
1
−
(
1
−
2
s
i
n
2
x
)
√
2
x
lim
x
→
0
√
2
s
i
n
2
x
√
2
x
⇒
lim
x
→
0
|
s
i
n
x
|
x
The limit of above does not exist as
L
H
S
=
−
1
≠
R
H
L
=
1
© examsnet.com
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