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The value of equals
MATHEMATICS · Single correct · ISC · Mathematics · Calculus · Calculus
Problem
The value of
lim
x
→
0
(
2
x
3
(
sin
−
1
x
−
tan
−
1
x
)
)
2
/
x
2
\displaystyle\lim_{x\to0}\left(\frac{2}{x^3}(\sin^{-1}x-\tan^{-1}x)\right)^{2/x^2}
x
→
0
lim
(
x
3
2
(
sin
−
1
x
−
tan
−
1
x
)
)
2/
x
2
equals (1)
e
e
e
(2)
e
\sqrt{e}
e
(3)
1
e
\frac{1}{e}
e
1
(4)
1
e
\frac{1}{\sqrt{e}}
e
1
Related theory
Power Series
Limits
Limits and Continuity
Indeterminate forms
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