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Mastering Limits - Analytical Evaluation Techniques in Calculus

Warm up with a graph example fitting f(0) = -2. Notebook exercises, agenda overview, homework quiz, lesson on evaluating limits analytically. Methods like Dividing Out and Rationalizing the Numerator emphasized. Includes tables and graphs to reinforce understanding.

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Mastering Limits - Analytical Evaluation Techniques in Calculus

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  1. Warm up Draw your own example of a graph that fits this condition: Warm up 1. f(0) = -2 Do in notebook

  2. Be seated before the bell rings Agenda : warm-up Go over homework (67-70) homework quizNotes lesson 1.3 DESK Warm-up (in your notes) homework

  3. Notebook 1 Learning Target Table of content Page • 1-1 A Preview of Calculus 1 2) 1-2 Finding limits graphically and numerically 3) 1-3 Evaluating limits analytically

  4. Section 1.3 – Evaluating Limits Analytically (limits by hand) • Review how do we find limits? • Table • Graphically • Algebraically EX: Direct substitution

  5. Section 1.3 – Evaluating Limits Analytically

  6. 1-3 Evaluating limits Analytically When direct substitution doesn't work. 1) Dividing out Method

  7. 1) Dividing out Method

  8. 2) Rationalize the numerator Indeterminate form Multiple by the conjugate Don’t forget to a table or graph to reinforce your conclusion

  9. Dividing Out Method

  10. Rationalizing the Numerator Method

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