Exercises

• Exercise 1: Bounded sets
• Exercise 2: Rational and irrational numbers, open sets
• Exercise 3: Convergent for sequences
• Exercise 4: Convergence for sequences
• Exercise 5: Continuous functions, open and closed sets
• Exercise 6: Logarithms
• Exercise 7: Metric spaces
• Exercise 8: Subsequences and sequential compactness
• Exercise 9: Uniform continuity and compactness
• Exercise 10: Unifrom continuity and series
• Exercise 11: Series
• Exercise 12: Power series and transcendental functions
• Exercise 13: Conditional and absolute convergence
• Exercise 14: Integration