# Real analysis: limits and rigorous reasoning

> Build epsilon proofs and distinguish pointwise convergence, uniform convergence and compactness.

Prerequisites: Logic, inequalities and real sequences.

Short self-study course; not an accredited qualification or a complete university syllabus.

## Lessons

- [Sequence limits and epsilon proofs](https://studybrix.com/en/courses/real-analysis/a-sequence-proofs/index.md): advanced; 8 questions.
- [Pointwise versus uniform convergence](https://studybrix.com/en/courses/real-analysis/a-uniform-convergence/index.md): advanced; 8 questions.
- [Compactness and continuous functions](https://studybrix.com/en/courses/real-analysis/a-compactness/index.md): advanced; 8 questions.