Question

Prove that every convergent sequence is Cauchy.

20 Jan 2026
Answer :
Word Count : 120
Let ((x_n)) be a convergent sequence in a metric space ((X,d)) and suppose (x_n \to x) for some (x \in X). By definition of _________ _____ __________ _________ _____ ____ ____ _________ _________ ___ ___ ___.
____ ________ _____ _________ ______ __________ ___ ___.
___ ________ ___ ______ ____ ____ ______ ______ _________ ___ ___.
____ _______ ______ _______ _______ ___ __________.
_____ ____ _______ _______ ____ __________ ___.
_____ ______ ______ ______ ________ ___ __________ ______ _________ _______.
_________ _____ ____ __________ ____.
_____ _________ _________ _________ ___ ________ ________.
_________ _________ ________ ____ ________ ___ __________.
____ _______ _________ _____ _________ _____ _________ ____ _______ ___ __________.
______ _____ ________ _______ _________ _______.
__________ __________ ___ ___ _______.
Get Full Answer on WhatsApp
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★
Top
📞
Call Support Instant phone assistance Prove that every convergent sequence is Cauchy.
🟢
WhatsApp Chat Fast live messaging
Email Us Business enquiries & support