Limits and Continuity
Limits and Continuity. Limits. What is a Limit? A limit is the value a function approaches. What are the limits?. What are the Limits. Find the Limits Algebraically. Limits to Infinity. More Limits to Infinity. Continuity. What is Continuity?
Limits and Continuity
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Presentation Transcript
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
