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JEE Advanced 2014 Paper 1
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© examsnet.com
Question : 58
Total: 60
The largest value of the non-negative integer a for which
lim
x
→
1
{
−
a
x
+
s
i
n
(
x
−
1
)
+
a
x
+
s
i
n
(
x
−
1
)
−
1
}
1
−
x
1
−
√
x
=
1
4
is ______
Your Answer:
Validate
Solution:
lim
x
→
1
{
−
a
x
+
sin
(
x
−
1
)
+
a
x
+
sin
(
x
−
1
)
−
1
}
1
−
x
1
−
√
x
=
1
4
lim
x
→
1
(
sin
(
x
−
1
)
(
x
−
1
)
−
a
sin
(
x
−
1
)
(
x
−
1
)
+
1
)
1
+
√
x
=
1
4
⇒
(
1
−
a
2
)
2
=
1
4
⇒
a
=
0
,
a
=
2
⇒
a
=
2
© examsnet.com
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