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Day 1

Limits. Day 1. Bell work. Find the limit if it exists. Find the limit if it exists. The limit of a function refers to the value that the function approaches , not the actual value (if any). not 1. Properties of Limits:.

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Day 1

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  1. Limits Day 1

  2. Bell work Find the limit if it exists.

  3. Find the limit if it exists.

  4. The limit of a function refers to the value that the function approaches, not the actual value (if any). not 1

  5. Properties of Limits: Limits can be added, subtracted, multiplied, multiplied by a constant, divided, and raised to a power. (See your book for details.) For a limit to exist, the function must approach the same value from both sides. One-sided limits approach from either the left or right side only.

  6. does not exist because the left and right hand limits do not match! left hand limit right hand limit value of the function 2 1 1 2 3 4 At x=1:

  7. because the left and right hand limits match. left hand limit right hand limit value of the function 2 1 1 2 3 4 At x=2:

  8. because the left and right hand limits match. left hand limit right hand limit value of the function 2 1 1 2 3 4 At x=3:

  9. How do you evaluate a limit algebraically? Tutorials for the Calculus Phobe Ch 1 Lesson 3

  10. Using simple substitution: Substitution does NOT always work!

  11. Why won’t substitution work for this problem? Try factoring!

  12. Use the TI-83 to find numerical or graphical evidence that the function does or does not have a limit. If the limit does not exist, decide whether the left-hand and right-hand limits exist. Page 137 #8

  13. Use the TI-83 to find numerical or graphical evidence that the function does or does not have a limit. If the limit does not exist, decide whether the left-hand and right-hand limits exist. Page 137 #10

  14. Homework Tutorials for the Calculus PhobeLesson 3 (Ch 1) Page 137 #1-27 odd, 28

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