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WELCOME TO CALCULUS. Spring 2012 MAT 161 Mrs. King. Introduction to Limits. Created by Mrs. King OCS Calculus Curriculum. What is Calculus?. Calculus is a process of applying limits to pre-calculus topics. Calculus is mathematics in motion!.
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WELCOMETOCALCULUS Spring 2012 MAT 161 Mrs. King
Introduction to Limits Created by Mrs. King OCS Calculus Curriculum
What is Calculus? • Calculus is a process of applying limits to pre-calculus topics. • Calculus is mathematics in motion!
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Before Calculus: • What is the x value of the removable discontinuity?
Compare: Before Calculus: With Calculus: • What happens AT x=1? • What happens as the x values APPROACH 1?
Informal Definition of Limit • If f(x) becomes arbitrarily close to a single number L as x approaches a number c from either side, the limit of f(x), as x approaches c, is L.
Remember: • Calculus is math in motion. • When working with limits, (as in life), it’s not the destination which matters, it is the journey.
Homework Page 54-55, #2, 3, 4, 6, 7, 9-16, 18