x2 X tet tx et + 1 A. lim x 2 B. lim - 3-1 2 - C. lim x⇒1 x² + x 2 x² - 1 Remember that if you choose to use L'Hospital's rule, you must check all necessary assumptions and use proper notation. None of these limits require L'Hospital's rule.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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Question
Evaluate the following limits algebraically if they
exist, showing all your work as done in lecture. If the
limit does not exist, answer DNE; if it is infinity,
answer ∞, if it is negative infinity, answer -∞.
Leave answers in exact form (i.e. if the answer is 1/4,
you may answer 1/4 or 0.25, but if the answer is 1/3,
you must leave it as 1/3). Arguments that use
numerical estimation or a graph will receive 0 credit.
It is especially important to show all your work for
these questions.
x2
3
1
A. lim
x 2
X
tet
B. lim
to et + 1
x² + x - 2
C. lim
x-1
x² - 1
Remember that if you choose to use L'Hospital's
rule, you must check all necessary assumptions and
use proper notation. None of these limits require
L'Hospital's rule.
-
2
Transcribed Image Text:Evaluate the following limits algebraically if they exist, showing all your work as done in lecture. If the limit does not exist, answer DNE; if it is infinity, answer ∞, if it is negative infinity, answer -∞. Leave answers in exact form (i.e. if the answer is 1/4, you may answer 1/4 or 0.25, but if the answer is 1/3, you must leave it as 1/3). Arguments that use numerical estimation or a graph will receive 0 credit. It is especially important to show all your work for these questions. x2 3 1 A. lim x 2 X tet B. lim to et + 1 x² + x - 2 C. lim x-1 x² - 1 Remember that if you choose to use L'Hospital's rule, you must check all necessary assumptions and use proper notation. None of these limits require L'Hospital's rule. - 2
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