Real numbers/Unit fractions/Example
The sequence
converges to the limit . To show this, let some positive be given. Due to the Archimedean axiom, there exists an , such that . Then for all , the estimate
holds.
The sequence
converges to the limit . To show this, let some positive be given. Due to the Archimedean axiom, there exists an , such that . Then for all , the estimate
holds.