9. Precise Limits and Continuity - Contents

1. Precise Definitions

     1   2   3
   1. Precise Left and Right Limits
   2. Precise \(2\)-Sided Limits
   3. Precise Continuity

2. Proofs

     1   2
   1. For Linear Functions
   2. For Non-Linear Functions

3. Limit Laws

     1   2
   1. Limit Laws
   2. Sandwich Theorem

4. Infinite Limits & Limits at Infinity

     1   2
   1. Precise Infinite Limits
   2. Precise Limits at Infinity

5. Intermediate and Extreme Value Theorems

     1   2
   1. Intermediate Value Theorem
   2. Extreme Value Theorem

6. Exercises

     1
   1. Exercises