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Compute limit - Paenza 2010
Compute limit - Paenza 2010
Source:
August 26, 2010
limit
trigonometry
real analysis
real analysis unsolved
Problem Statement
Let
(
x
n
)
n
∈
N
(x_n)_{n \in \mathbb{N}}
(
x
n
)
n
∈
N
be the sequence defined as
x
n
=
sin
(
2
π
n
!
e
)
x_n = \sin(2 \pi n! e)
x
n
=
sin
(
2
πn
!
e
)
for all
n
∈
N
n \in \mathbb{N}
n
∈
N
. Compute
lim
n
→
∞
x
n
\lim_{n \to \infty} x_n
lim
n
→
∞
x
n
.
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