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Lebl-Basic-Analysis-I
· Problem 1.2.2
Real Numbers
Mathematics · archimedean-property
Problem
Prove that if
t
≥
0
t \geq 0
t
≥
0
(
t
∈
R
t \in \mathbb{R}
t
∈
R
), then there exists an
n
∈
N
n \in \mathbb{N}
n
∈
N
such that
n
−
1
≤
t
<
n
n - 1 \leq t < n
n
−
1
≤
t
<
n
.
Related theory
The Real Number System Completeness And Archimedean Property
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