Public learning track
Limits, Continuity, and Asymptotic Behavior
10th Grade · Math · Open Global Math
14 lessons
Goal
Evaluate limits algebraically and numerically, analyze continuity, determine all types of asymptotes, and resolve indeterminate forms using L'Hopital's rule.
Featured Diagrams
Intuitive Understanding of Limits from Graphs and Tables
14 lessons
0 of 14 done
- 1Intuitive Understanding of Limits from Graphs and TablesUp nextStart
- 2Evaluating Limits Using Algebraic MethodsPremiumNot started yet
- 3Evaluating Limits Involving Factoring and RationalizationNot started yet
- 4One-Sided Limits and Conditions for Limit ExistenceNot started yet
- 5Continuity at a Point and Over IntervalsNot started yet
- 6Classifying Discontinuities: Removable, Jump, and EssentialNot started yet
- 7The Intermediate Value Theorem and Existence of RootsNot started yet
- 8Limits of Trigonometric FunctionsNot started yet
- 9Limits at Infinity and Horizontal AsymptotesNot started yet
- 10Infinite Limits and Vertical AsymptotesNot started yet
- 11Slant and Oblique Asymptotes in Rational FunctionsNot started yet
- 12Indeterminate Form 0/0 and Introduction to L'Hopital's RuleNot started yet
- 13Indeterminate Form Infinity/Infinity and Advanced L'Hopital's RuleNot started yet
- 14Numerical Approximation of Limits via Sequences and IterationNot started yet
Curriculum Framework
10th Grade · Math · Open Global Math
1
14 lessons
Limits, Continuity, and Asymptotic Behavior
Evaluate limits algebraically and numerically, analyze continuity, determine all types of asymptotes, and resolve indeterminate forms using L'Hopital's rule.
2
14 lessons
Differential Calculus Foundations and Differentiation Rules
Compute first and second derivatives of polynomial, rational, exponential, logarithmic, and trigonometric functions using analytical rules.
3
10 lessons
Applications of Derivatives: Curve Sketching and Optimization
Apply first and second derivatives to analyze monotonicity, concavity, points of inflection, graph behavior, and solve real-world optimization problems.
4
8 lessons
Antiderivatives and Indefinite Integrals Foundations
Apply linearity properties and basic integration rules to evaluate indefinite integrals for polynomials, 1/x, e^x, sin(x), and cos(x), and solve initial value problems.