We want to use properties of limits and algebraic methods to find x² – 81 lim x--9 x + 9 Note that the function is a -Select--- v function. The numerator and denominator are 0 at x = , and thus we have the indeterminate form -Select--- v at x = We can factor from the numerator and reduce the fraction. x2 - 81 9) lim x--9 lim x--9 x + 9 x + 9 = lim x→-9 - 9 ||

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
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We want to use properties of limits and algebraic methods to find
x² – 81
lim
x--9 x + 9
Note that the function is a -Select--- v function. The numerator and denominator are 0 at
x =
, and thus we have the indeterminate form -Select--- v at x =
We
can factor
from the numerator and reduce the fraction.
x2 - 81
9)
lim
x--9
lim
x--9
x + 9
x + 9
= lim
x→-9
- 9
||
Transcribed Image Text:We want to use properties of limits and algebraic methods to find x² – 81 lim x--9 x + 9 Note that the function is a -Select--- v function. The numerator and denominator are 0 at x = , and thus we have the indeterminate form -Select--- v at x = We can factor from the numerator and reduce the fraction. x2 - 81 9) lim x--9 lim x--9 x + 9 x + 9 = lim x→-9 - 9 ||
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