MAT320/640 LECTURE 8 (9/29/2021): SUBSEQUENCES AND BOLZANO-WEIERSTRASS THEOREM
• Announcements: Since Gillet Hall is still closed due to COVID-safety issues, our exercise session that was tentatively planned in-person next week will be instead held online via Zoom. More details will be emailed to you shortly.
• Video 1: Recap on definition of Cauchy sequence, proof that Cauchy sequences are bounded and convergent. Download file or watch below
• Video 2: Subsequences and examples. Download file or watch below
• Video 3: Relating sequences and their subsequences. Download file or watch below
• Video 4: The Bolzano-Weierstrass Theorem. Download file or watch below
• Video 5: Subsequential limits. Download file or watch below