Abstract
The paper develops the principal theorems on limits of convergent sequences starting from the Cauchy criterion. The traditional definition causes problems to students as it presupposes the existence of a limit before checking that a sequence converges. The Cauchy criterion, in addition to overcoming this problem, also leads to more precise results. The convergence of sequences generated on a computer is also examined and practical criteria for terminating iterations are compared and analysed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Mathematical Education in Science and Technology
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
