A function is said to have a vertical asymptote wherever the limit on the left or right (or both) is either positive or negative infinity. For example, the function f(x)=−3(x+2)x2+4x+4f(x)=−3(x+2)x2+4x+4 has a vertical asymptote at x=−2x=−2. Find each of the following limits. limx→−2−−3(x+2)x2+4x+4=limx→−2−−3(x+2)x2+4x+4= help (limits) limx→−2+−3(x+2)x2+4x+4=limx→−2+−3(x+2)x2+4x+4= help (limits) limx→−2−3(x+2)x2+4x+4=limx→−2−3(x+2)x2+4x+4= help (limits)
A function is said to have a vertical asymptote wherever the limit on the left or right (or both) is either positive or negative infinity. For example, the function f(x)=−3(x+2)x2+4x+4f(x)=−3(x+2)x2+4x+4 has a vertical asymptote at x=−2x=−2. Find each of the following limits. limx→−2−−3(x+2)x2+4x+4=limx→−2−−3(x+2)x2+4x+4= help (limits) limx→−2+−3(x+2)x2+4x+4=limx→−2+−3(x+2)x2+4x+4= help (limits) limx→−2−3(x+2)x2+4x+4=limx→−2−3(x+2)x2+4x+4= help (limits)
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.5: Graphing Rational Functions
Problem 36PS
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A function is said to have a vertical asymptote wherever the limit on the left or right (or both) is either positive or negative infinity.
For example, the function f(x)=−3(x+2)x2+4x+4f(x)=−3(x+2)x2+4x+4 has a vertical asymptote at x=−2x=−2.
Find each of the following limits.
limx→−2−−3(x+2)x2+4x+4=limx→−2−−3(x+2)x2+4x+4= help (limits)
limx→−2+−3(x+2)x2+4x+4=limx→−2+−3(x+2)x2+4x+4= help (limits)
limx→−2−3(x+2)x2+4x+4=limx→−2−3(x+2)x2+4x+4= help (limits)
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