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Mathematics
Mathematics
Problem
Evaluate
lim
x
→
0
(
sin
x
x
)
1
x
2
\displaystyle \lim_{x\to 0}\left(\frac{\sin x}{x}\right)^{\tfrac{1}{x^{2}}}
x
→
0
lim
(
x
sin
x
)
x
2
1
. a)
e
−
1
3
e^{-\tfrac13}
e
−
3
1
b)
e
1
6
e^{\tfrac16}
e
6
1
c)
e
−
1
6
e^{-\tfrac16}
e
−
6
1
d)
1
1
1
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