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Mathematics
Mathematics
Problem
Discuss the continuity of
f
(
x
)
f(x)
f
(
x
)
, where
f
(
x
)
=
lim
n
→
∞
(
sin
π
x
2
n
)
2
n
f(x) = \lim_{n \to \infty} \left( \sin \frac{\pi x}{2n} \right)^{2n}
f
(
x
)
=
n
→
∞
lim
(
sin
2
n
π
x
)
2
n
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