Related to Real Analysis
Use the Archimedean property to show that if r, s ∈ R and r < s, there is a q ∈ Q such that r < q < s. (Hint: pick n ∈ N , n > 1/(s − r), and find an m ∈ N such that r < (m/n) < s.)
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.

4.8K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 608 views
- $3.00
Related Questions
- Show that there is either an increasing sequence or a decreasing sequence of points $x_n$ in A with $lim_{n\rightarrow \infty} x_n=a$.
- Prove that convergence of the infinite series of integral of absolue values of a sequence of functions implies convergence
- A lower bound
- Math and graph representing a competitive struggle between competitors with a fixed number of supporters.
- Limit of an Integral of a $C^\infty$-Smooth Function with Compact Support
- Use first set of data to derive a second set
- real analysis
- do not answer