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Problem
Problem
Let
[
⋅
]
[ \cdot ]
[
⋅
]
represents the greatest integer function less than or equal to
x
x
x
. The value of
lim
x
→
0
[
n
sin
x
x
]
+
[
n
tan
x
x
]
\lim_{x \to 0} \left[ \frac{n \sin x}{x} \right] + \left[ \frac{n \tan x}{x} \right]
lim
x
→
0
[
x
n
s
i
n
x
]
+
[
x
n
t
a
n
x
]
is a.
n
+
1
n + 1
n
+
1
b.
2
n
2n
2
n
c.
n
−
1
n - 1
n
−
1
d.
2
n
−
1
2n - 1
2
n
−
1
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