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Limits and Continuity

Limits and Continuity

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Limits and Continuity

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  1. Limits andContinuity

  2. Limits • What is a Limit? • A limit is the value a function approaches

  3. What are the limits?

  4. What are the Limits

  5. Find the Limits Algebraically

  6. Limits to Infinity

  7. More Limits to Infinity

  8. Continuity • What is Continuity? • You can draw the graph without lifting your pencil!

  9. Intermediate Value Theorem • What is the Intermediate Value Theorem? • If is continuous on a closed interval [a,b] , and w is any number between f(a) and f(b) inclusive, then there is at least one number c in the closed interval such that f(c)=w.

  10. Why does the IVT Matter?

  11. Continuity

  12. Continuity • What value of k will make the function continuous?

  13. Continuity • Solve for a and b to make continuous