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Problem
Problem
The value of
lim
x
→
0
(
2
x
3
(
sin
−
1
x
−
tan
−
1
x
)
)
2
/
x
2
\lim_{x \to 0} \left( \frac{2}{x^3} (\sin^{-1} x - \tan^{-1} x) \right)^{2/x^2}
lim
x
→
0
(
x
3
2
(
sin
−
1
x
−
tan
−
1
x
)
)
2/
x
2
equals a.
e
e
e
b.
e
\sqrt{e}
e
c.
1
e
\frac{1}{e}
e
1
d.
1
e
\frac{1}{\sqrt{e}}
e
1
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