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1.3 Find a Limit Algebraically

Explore limit laws & methods (substitution, factoring, simplifying, conjugate pairs) algebraically through examples. Learn about Greatest Integer Function & Special Trig Limits, and grasp the Squeeze Theorem.

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1.3 Find a Limit Algebraically

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  1. 1.3 Find a Limit Algebraically • Pg. 59 • See LIMIT Laws!

  2. Evaluating a Limit • Methods: • Substitution • Factoring • Simplifying • Conjugate Pairs

  3. Ex 1: Evaluate the Limit.

  4. Ex 2: Evaluate the Limit.

  5. Ex 3: Evaluate the Limit.

  6. Ex 4: Evaluate the Limit.

  7. 1.3A pg. 67#5 – 21 EOO, #23 – 61 odds

  8. 1.3 Greatest Integer Function & Special Trig Limits

  9. Greatest Integer Function: • The largest integer that is less than or equal to x. • f (x) = [[x]]

  10. Ex 1: Evaluate the Limit.

  11. Ex 1: Evaluate

  12. Ex 2: Evaluate

  13. 1.3 pg. 67#67 – 85 odds

  14. The Squeeze Thm. • If f(x) g(x)  h(x) when x is near a and • then

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