Mathematical_Analysis_Exam

📘 Final Exam – Mathematical Analysis (Bachelor Year 1)

This exam focuses on the study of numerical sequences and their limits, assessing students’ ability to reason rigorously and apply fundamental analysis methods.

Students are expected to understand the concepts of convergence, calculate limits directly, and clearly justify their reasoning. The exam also introduces Cauchy sequences, highlighting the connection between convergence and the rigor of proofs.

📌 Main Topics:

- Direct calculation of sequence limits as n tends to infinity.

- Analysis of convergence and identification of common limits among sequences.

- Application of the Cauchy sequence concept to confirm convergence in ℝ.

- Development of logical reasoning and justification of each calculation step.

🎯 Target Audience:

First-year Bachelor’s students (L1) in Mathematics or related fields. Ideal for those looking to strengthen their understanding of limits and convergence.

Taking this exam will consolidate your analytical skills, enhance the rigor of your proofs, and better prepare you for future exams and advanced mathematics courses.