b) Now, follow an algebraic approach to compute the limit 13 – 1 lim 1 I-1 and the limit V9+x– 3 lim

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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Question 4b

4. a) Recall elementary algebraic formulas to factor and simplify the folowing expres-
sion:
1³ - 1
I -1
b) Now, follow an algebraic approach to compute the limit
g3 – 1
lim
z1 I-1
and the limit
V9 +x – 3
lim
You must clearly explain each and every step in order to receive credit.
5. Consider the function:
f(z) =
z+5
a) Does the function admit any vertical asymptotes? If so, give the equation of the
vertical asymptote and còmpute
4x
lim
z-5+ I+5
and
4x
lim
I4-5- I ++5
b) What about horizontal asymptotes? Give the equation of the horizontal asymptote,
i.e. compute the following limit at infinity
4x
lim
1++00 r + 5
Transcribed Image Text:4. a) Recall elementary algebraic formulas to factor and simplify the folowing expres- sion: 1³ - 1 I -1 b) Now, follow an algebraic approach to compute the limit g3 – 1 lim z1 I-1 and the limit V9 +x – 3 lim You must clearly explain each and every step in order to receive credit. 5. Consider the function: f(z) = z+5 a) Does the function admit any vertical asymptotes? If so, give the equation of the vertical asymptote and còmpute 4x lim z-5+ I+5 and 4x lim I4-5- I ++5 b) What about horizontal asymptotes? Give the equation of the horizontal asymptote, i.e. compute the following limit at infinity 4x lim 1++00 r + 5
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