Q 7 Find lim y+21y2 +71y + 51 y2-9

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 41E
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Q 7 Find lim y+21y2 +71y + 51
y2-9
Transcribed Image Text:Q 7 Find lim y+21y2 +71y + 51 y2-9
Expert Solution
Step 1

Consider the given limits

lim+21 7ly+51
y2-9
x-3
Step 2

We can write this

21271_(y+3)(y +18y 17)
y2-9
lim
(y+3)(y-3)
x->3
(y2 +18y+17
= lim
(y-3)
Substitute y h+3 and h->0|
Step 3

Then

(h+3) +18(h+3)+17
lim
h+3-3
h->0
h224h80
lim
h
h-0
Step 4

Now substitute

1
h -and x
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