Calculus 1 — 5.5: One-Sided Limits and Vertical Asymptotes скачать в хорошем качестве

Calculus 1 — 5.5: One-Sided Limits and Vertical Asymptotes

Why do some limits "not exist" even when we can see exactly what the function is doing? In this video, we break down one-sided limits and reveal how they determine whether a two-sided limit exists—plus how to identify vertical asymptotes when functions shoot off to infinity. Key concepts covered: • One-sided limit notation (approaching from left vs. right) • The existence condition: when do two-sided limits exist? • Why disagreeing one-sided limits mean "limit does not exist" • Using tables to evaluate limits numerically (1/x example) • Vertical asymptotes and the four cases of infinite behavior • When we CAN write "limit = ∞" (and when we can't) ━━━━━━━━━━━━━━━━━━━━━━━━ SOURCE MATERIALS The source materials for this video are from    • Calculus 1 Lecture 1.1:  An Introduction t...