Mathematics of Limits Course
Gain expertise in the mathematics of limits through formal epsilon-delta proofs, intuitive geometric understanding, and effective algebraic techniques. Develop a thorough, applicable knowledge of continuity, asymptotes, and limit theorems essential for advanced mathematics studies and applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a straightforward guide to mastering limits in mathematics, starting from basic concepts and progressing to formal epsilon-delta proofs. Learners will examine one-sided limits, types of discontinuities, and asymptotic behaviour, practise essential algebraic and trigonometric methods, utilise important theorems such as L’Hôpital’s Rule, and develop skills in crafting clear, precise solutions to enhance problem-solving and instructional abilities.
Elevify advantages
Develop skills
- Master epsilon-delta proofs by constructing rigorous and clear limit arguments quickly.
- Identify limit failures such as jumps, asymptotes, and oscillations using graphs.
- Calculate challenging limits employing algebra, squeeze theorem, and trigonometric identities.
- Interpret limits graphically, including one-sided limits, continuity, and overall behaviour.
- Utilise L’Hôpital’s Rule and limit laws effectively for solving practical mathematical problems.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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