Answered: Identify the limit laws that are being… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.10: Partial Fractions

Problem 26E

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Question

Identify the limit laws that are being used in each steps.

2.
4x²–3z-1
lim
z-0 (z-1)(x+1)
Solutions
Proof/ Theorem
4x2 –3z-1
lim
z→0 (z–1)(z+1)
lim[4z? –3z-1]
lim[(r-1)(z+1)]
lim 4r2 –lim 3z-lim 1
lim(r-1)-lim(x+1)
lim 4r?– lim 3z-lim 1
(lim z–lim 1)-(lim z+lim 1)
4-lim z?-3-1lim z-lim 1
(lim z-lim 1)-(lim z+lim 1)
4-(lim z)?-3-(lim z)– lim(1)
[(lim z)-(lim 1)]-[(lim z)+(lim 1)]
4(0)² –3(0)–(1)
[(0)–(1)]-[(0)+(1)]
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