#7.) Evaluate the following limits C a lim 4x2-36 X->3 2x-6 E by lim X-72 Climx-5 X-75 √x-1-2 A 2x²-x-6 3x2-7x +2

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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#7.) Evaluate the following limits
a lim 4x²-36
x->3 2x -6
by lim 2x²-x-6
e.) lim
X-72
X-73 X-3
3x²-7x +2
f.) lim (x+8)= -2
Clim X-5
X-70
X-75 √x-1-2
#8.) Determine constants a and b such that fex is continuous for all values of x
Sax +3, if x >5
f(x) =
8, if x = 5
x2+ bx ta if x <5
do lim ³+1
X--X-1
(x² 3 + x = -9)
Transcribed Image Text:#7.) Evaluate the following limits a lim 4x²-36 x->3 2x -6 by lim 2x²-x-6 e.) lim X-72 X-73 X-3 3x²-7x +2 f.) lim (x+8)= -2 Clim X-5 X-70 X-75 √x-1-2 #8.) Determine constants a and b such that fex is continuous for all values of x Sax +3, if x >5 f(x) = 8, if x = 5 x2+ bx ta if x <5 do lim ³+1 X--X-1 (x² 3 + x = -9)
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