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How do we usually use the word limit outside of calculus? What is a limit in calculus? What does it mean for a function to

  1. How do we usually use the word "limit" outside of calculus?
  2. What is a limit in calculus?
  3. What does it mean for a function to be continuous?
  4. What three conditions must be met for a function to be continuous?
  5. What is the difference between a removable and non-removable discontinuity?
  6. If a function approaches positive infinity as you approach x=2 from both sides, does the limit exist? If so, what is the limit? Please explain.
  7. What is the difference between using ( ) versus [ ] for an interval?
  8. When saying an interval goes to positive or negative infinity, should you use () or []? For example, if you were saying 5 to infinity, would you write (5, infinity) or (5, infinity]?

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