Chapter 1 Limits (LT)
Learning Outcomes
How do we measure βclose-byβ values?
By the end of this chapter, you should be able to...
Find limits from the graph of a function.
Infer the value of a limit based on nearby values of the function.
Compute limits of functions given algebraically, using proper limit properties.
Determine where a function is and is not continuous.
Determine limits of functions at infinity.
Determine limits of functions approaching vertical asymptotes.
Readiness Assurance.
Before beginning this chapter, you should be able to...
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Use function notation and evaluate functions
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Find the domain of a function
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Determine vertical asymptotes, horizontal asymptotes, and holes (removable discontinuities) of rational functions
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Perform basic operations with polynomials
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Factor quadratic expressions
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Represent intervals using number lines, inequalities, and interval notation
www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions#x2f8bb11595b61c86:evaluating-functions
www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:evaluating-functions/e/functions_1?modal=1
www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:evaluating-functions/e/evaluate-functions-from-their-graph?modal=1
www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:interpreting-function-notation/e/function-notation-in-context?modal=1
www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions#x2f8bb11595b61c86:determining-the-domain-of-a-function
www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:determining-the-domain-of-a-function/e/domain-of-algebraic-functions?modal=1
www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:rational-functions#x9e81a4f98389efdf:discontinuities-of-rational-functions
www.softschools.com/math/calculus/finding_horizontal_asymptotes_of_rational_functions/
www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:rational-functions/x9e81a4f98389efdf:discontinuities-of-rational-functions/e/points-of-discontinuity-of-rational-functions?modal=1
www.softschools.com/math/calculus/finding_horizontal_asymptotes_of_rational_functions/
www.khanacademy.org/math/get-ready-for-precalculus/x65c069afc012e9d0:get-ready-for-polynomials#x65c069afc012e9d0:adding-and-subtracting-polynomials
www.khanacademy.org/math/get-ready-for-precalculus/x65c069afc012e9d0:get-ready-for-polynomials/x65c069afc012e9d0:multiplying-binomials-by-polynomials/a/multiplying-binomials-by-polynomials-review
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www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-intro/a/factoring-simple-quadratics-review?modal=1
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www.varsitytutors.com/hotmath/hotmath_help/topics/interval-notation