Limits and Continuity

Limits and Continuity

Dr Peyam via YouTube Direct link

Epsilon delta limit (Example 6): Square Roots

43 of 45

43 of 45

Epsilon delta limit (Example 6): Square Roots

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Classroom Contents

Limits and Continuity

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  1. 1 Epsilon Delta Continuity (Example 1)
  2. 2 The Ultimate Continuity Battle (Example 2)
  3. 3 f is not continuous (Example 3)
  4. 4 Epsilon Delta Continuity (Example 4): x^3
  5. 5 Epsilon Delta Continuity (Example 5): Absolute Value
  6. 6 Epsilon Delta Continuity (Example 6): 1/x
  7. 7 Epsilon Delta Continuity (Example 7): Square Root
  8. 8 Sequential vs Epsilon-Delta Continuity
  9. 9 f+g is continuous
  10. 10 fg is continuous
  11. 11 f/g is continuous
  12. 12 Chen Lu is continuous
  13. 13 Max is continuous
  14. 14 The Popcorn Function
  15. 15 f(2x) = f(x)
  16. 16 f(x^2) = f(x)
  17. 17 Continuous implies Bounded
  18. 18 Can you prove it? The Extreme Value Theorem
  19. 19 Can you prove it? The Intermediate Value Theorem
  20. 20 Image of an interval
  21. 21 What is a fixed point?
  22. 22 Calculus Square Root
  23. 23 a pyramid fact about functions
  24. 24 Continuity and Monotonicity
  25. 25 f inverse is continuous
  26. 26 The Borsuk Ulam Theorem
  27. 27 What is Uniform Continuity?
  28. 28 Uniform Continuity (Example 1): The Basics
  29. 29 Uniform Continuity (Example 2): Challenging Example
  30. 30 Uniform Continuity (Example 3): Not Uniformly Continuous
  31. 31 Uniform Continuity (Example 4): Not Uniformly Continuous
  32. 32 Hölder Continuity
  33. 33 Uniform Continuity and Compactness
  34. 34 Voulez-vous Cauchy avec moi?
  35. 35 What is a continuous extension?
  36. 36 a neat fact about uniform continuity
  37. 37 The Darboux Integral
  38. 38 Epsilon delta limit (Example 1)
  39. 39 Epsilon delta limit (Example 2)
  40. 40 Epsilon delta limit (Example 3): Infinite limit at a point
  41. 41 Epsilon delta limit (Example 4): Limits at infinity
  42. 42 Epsilon delta limit (Example 5): x cubed
  43. 43 Epsilon delta limit (Example 6): Square Roots
  44. 44 Epsilon delta limit (Example 7): 1/x
  45. 45 How do you prove it? The Squeeze Theorem

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