Exercise 1.3.8

Question

Compute, without proofs, the suprema and infima (if they exist) of the following sets:
  \begin{enumerate}[label=(\alph*)] 
  \item $\{m / n: m, n \in \mathbf{N}$ with $m<n\}$.
  \item $\left\{(-1)^{m} / n: m, n \in \mathbf{N}\right\}$.
  \item $\{n /(3 n+1): n \in \mathbf{N}\}$
  \item $\{m /(m+n): m, n \in \mathbf{N}\}$
   \end{enumerate}

Ulisse Mini · Accepted Answer

\begin{enumerate}[label=(\alph*)] 
  \item $\sup = 1$, $\inf = 0$
  \item $\sup = 1$, $\inf = -1$
  \item $\sup = 1/3$, $\inf = 1/4$
  \item $\sup = 1$, $\inf = 0$
   \end{enumerate}

Exercise 1.3.8

Answers

Comments

Exercise 1.3.8

Answers

Comments

Add answer