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Limits

Limits. By Erica Brackman. A Limit is…. The continuity of a function at a point of its domain The value the graph approaches at a certain point. Expressed with the notation: where a and L are numbers. Finding a Limit. Step 1: Simplify the function. Finding a Limit.

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Limits

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  1. Limits By Erica Brackman

  2. A Limit is… • The continuity of a function at a point of its domain • The value the graph approaches at a certain point. • Expressed with the notation: where a and L are numbers

  3. Finding a Limit • Step 1: Simplify the function

  4. Finding a Limit • Step 2: Plug in the value

  5. Limit Rules: If and then… • The Sum Rule:

  6. Limit Rules: If and then… • The Difference Rule

  7. Limit Rules: If and then… • The Product Rule

  8. Limit Rules: If and then… • The Quotient Rule • M CANNOT equal 0

  9. Limit Rules: If and then… • The Constant Multiple Rule

  10. Find the Limit at 1 • g(x)= • Step 1: Simplify • Step 2: Plug in • f(x)=2x-3 • Step 1: Simplify • Can’t be simplified • Step 2: Plug in

  11. Given the two limits: • The Sum Rule • The Difference Rule • The Product Rule

  12. Given the two limits: • The Quotient Rule • The Constant Multiple Rule

  13. Why was the math teacher forbidden to show a Calculus movie in class? It had no limits!

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