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Limits: Evaluation Techniques

Limits: Evaluation Techniques. 2.3. Find the Limit. -1. Multiply by LCD. Cancel. (4). Substitute and Solve. Example. -1. Multiply by LCD. Cancel. (2). Substitute and Solve. Use piecewise definition for absolute value functions. Limit DNE!.

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Limits: Evaluation Techniques

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  1. Limits: Evaluation Techniques 2.3

  2. Find the Limit -1 Multiply by LCD Cancel (4) Substitute and Solve

  3. Example -1 Multiply by LCD Cancel (2) Substitute and Solve

  4. Use piecewise definition for absolute value functions Limit DNE!

  5. Use piecewise definition for absolute value functions Limit DNE!

  6. Examples Cancel Substitute and Solve 64 16

  7. Rewrite as a single fraction using LCD D.S -> 0/0 Rationalize Numerator -1 Simplify Cancel 0 0 Substitute and solve

  8. TRIG LIMITS

  9. =1 Must match exactly!

  10. =0 Must match exactly

  11. EXAMPLES

  12. Multiply numerator and denominator by 3 Since they match…let’s use our theorem Property of Limits

  13. Trapped between: This makes a limit sandwich! 0 0 By Squeeze Theorem

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