EDB — 0NF

Exercises

1. [0NF] Let $(x_n{)}_n$ be a sequence such that ${\sum }_{n=1}^{\infty }d(x_n,x_{n+1})<\infty$: prove that it is a Cauchy sequence.

   Compare this exercise, the previous [0NC]↺↻ in case ${\sum }_n{\epsilon }_n<\infty$, and exercise [0N8]↺↻.