Term 5 · Year 2
Term 5 — Limits and Continuity
Formalization of the limit concept, light ε-δ, continuity.
10 lessons · 10 published · ~32h of study
(Year 2 — Differential Calculus and Probability)
Classes (didactic grouping)
Each Class groups 2–5 Lessons by topic. Click on a Lesson to study the content.
Class A — Formal limit and properties
~6h · 2 lessonsClass B — Continuity and one-sided limits
~6h · 2 lessonsClass C — Fundamental limits and IVT
~12h · 4 lessons- Lesson 45published →Fundamental Limits and Indeterminate Formslim (sin x)/x = 1, lim (1+1/n)ⁿ = e
- Lesson 46published →Intermediate Value Theorem (IVT) and ApplicationsIntermediate Value Theorem, bisection, applications
- Lesson 47published →Asymptotes and Asymptotic BehaviorVertical, horizontal, oblique asymptotes
- Lesson 48published →Limits with Trigonometric Functionslim sin x, cos x, with substitution
Class D — Limit of a sequence + synthesis
~6h · 2 lessonsTest yourself this term
There are 10 exam versions covering this term, each with answer key + step-by-step solutions. Take one after each group of lessons.