= 7+lim 7 X-7 x² - 49 lim x-7 x-7 = lim x-7 (x-7)(x + 7) (x-7) = lim(x + 7) x-7 = lim x + lim 7 x-7 x-7 :: lim x = 7 and lim 7 = 7 x-7 x-7 = 7+7 = 14

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 60RE
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EXPLAIN THE SOLUTION FOR UPVOTE

= 7+ lim 7
x→7
x² - 49
lim
x=7 x 7
= lim
(x-7)(x + 7)
x→7 (x-7)
= lim(x + 7)
x→7
= lim x + lim 7
x-7 x→7
:: lim x
= 7+7
= 14
=
7 and lim 7 = 7
x→7
Transcribed Image Text:= 7+ lim 7 x→7 x² - 49 lim x=7 x 7 = lim (x-7)(x + 7) x→7 (x-7) = lim(x + 7) x→7 = lim x + lim 7 x-7 x→7 :: lim x = 7+7 = 14 = 7 and lim 7 = 7 x→7
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