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Limits Algebraically

Limits Algebraically. Objective. To evaluate limits using algebra. TS: Explicitly assess information and draw conclusions. Video Clip from Calculus-Help.com. How do you find a limit?. How do you find (evaluate) a limit?. Key Point : Evaluate means you should give a numerical answer.

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Limits Algebraically

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  1. Limits Algebraically

  2. Objective • To evaluate limits using algebra. TS: Explicitly assess information and draw conclusions.

  3. Video Clip fromCalculus-Help.com How do you find a limit?

  4. How do you find (evaluate) a limit? • Key Point: Evaluate means you should give a numerical answer. • Techniques for Evaluating Limits 1) Substitution 2) Factoring 3) Conjugate Method 4) Table of Values 5) Graphing

  5. When will direct substitution not work? • Substitution will not work if it produces zero in the denominator of a fraction. • In this case, try factoring or the conjugate method.

  6. What is a conjugate? • The first terms are the same and the second terms are opposites. expression: its conjugate:

  7. Direct Substitution

  8. Factoring

  9. Factoring

  10. Conjugate Method

  11. Limits Algebraically This means Δx NOT x is going to 0

  12. Important Ideas About Limits • If a function approaches the same value from both the left and right sides, then that value is the limit of the function at that point. If a function approaches different values, then the limit doesnotexist (DNE).

  13. Important Ideas About Limits 2) The value of a function at a specific x has no bearing on the existence or nonexistence of the limit of the function.

  14. Important Ideas About Limits 3) Rather than saying that a limit equals infinity we should say that the limit does not exist (DNE), because a limit should be a real number.

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