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Lebl-Basic-Analysis-I
· Problem 2.1.17
Sequences and Series
Mathematics · sequences-and-limits
Problem
(Tricky) Find a sequence
{
x
n
}
n
=
1
∞
\{x_n\}_{n=1}^\infty
{
x
n
}
n
=
1
∞
such that for every
y
∈
R
y \in \mathbb{R}
y
∈
R
, there exists a subsequence
{
x
n
i
}
i
=
1
∞
\{x_{n_i}\}_{i=1}^\infty
{
x
n
i
}
i
=
1
∞
converging to
y
y
y
.
Related theory
sequences-and-limits
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