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Problem
Problem
Evaluate
lim
x
→
0
(
2
−
x
x
)
tan
π
x
2
\lim_{x \to 0} \left( \frac{2-x}{x} \right)^{\tan \frac{\pi x}{2}}
x
→
0
lim
(
x
2
−
x
)
t
a
n
2
π
x
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