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Problem
Problem
If
lim
x
→
0
{
(
a
−
n
)
n
x
−
tan
x
}
sin
n
x
x
2
=
0
\lim_{x \to 0} \frac{\{(a-n)nx - \tan x\} \sin nx}{x^2} = 0
lim
x
→
0
x
2
{(
a
−
n
)
n
x
−
t
a
n
x
}
s
i
n
n
x
=
0
, where
n
n
n
is non-zero real number, then
a
a
a
is equal to [2003 AIEEE] a. 0 b.
n
+
1
n
\frac{n+1}{n}
n
n
+
1
c.
n
n
n
d.
n
+
1
n
n + \frac{1}{n}
n
+
n
1
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