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1.02 Introduction to limits

1.02 Introduction to limits. Speed limit  the speed which you can reach but not go over “I’ve hit my limit”  I’ve had enough, I can’t take any more In calculus, a limit is the intended value of a function. Definition of a limit. Example 1. Example 1. Example 1. Example 2.

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1.02 Introduction to limits

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  1. 1.02 Introduction to limits

  2. Speed limit  the speed which you can reach but not go over “I’ve hit my limit”  I’ve had enough, I can’t take any more In calculus, a limit is the intended value of a function Definition of a limit

  3. Example 1

  4. Example 1

  5. Example 1

  6. Example 2

  7. A limit will not exist if the function is approaching an undefined value (ie ∞ ) Example 3

  8. means the limit approaching 3 from the right means the limit approaching 3 from the left Right and left hand limits

  9. For a limit to exist, the right-hand limit (RHL) and the left-hand limit (LHL) must both exist and must be equal Right and left hand limits Therefore, the limit does not exist

  10. Limits can be evaluated 3 ways: • Graphically • Algebraically (several different method) • Using the Sandwich Theorem (only some limits) also known as the squeeze theorem Evaluating limits

  11. Use your graphing calculator to evaluate each of the following limits (calculator should be in RADIANS) Evaluating graphically with calculator

  12. From the Finney textbook • P. 62 # 1 – 6 • P. 64 # 45 – 47 (instructions are on p. 63) homework

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