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## Limits and Continuity

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**Limits**• What is a Limit? • A limit is the value a function approaches**Continuity**• What is Continuity? • You can draw the graph without lifting your pencil!**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.**Continuity**• What value of k will make the function continuous?**Continuity**• Solve for a and b to make continuous