When writing the solutions for limit problems (and problems in general), we want to communicate our solution to others, and the steps by which our solution is justified. Behold the following: lim{5x² + 4x +3} x→a SL = = = = = lim {5x²}+lim {4x} + lim{3} x→a x→a 5.lim{x} +4·limx+lim {3} x→a x→a 5.(limx +4.limx + lim{3} x→a x→a x→a 5-a² +4.a+lim{3} x→a x-a 5a² +4a+3. For the last four steps, write the abbreviation for the Limit Law used in that step over the "=" sign. Using complete sentences, describe in words how the Limit Law (SL) was used in the first line.
When writing the solutions for limit problems (and problems in general), we want to communicate our solution to others, and the steps by which our solution is justified. Behold the following: lim{5x² + 4x +3} x→a SL = = = = = lim {5x²}+lim {4x} + lim{3} x→a x→a 5.lim{x} +4·limx+lim {3} x→a x→a 5.(limx +4.limx + lim{3} x→a x→a x→a 5-a² +4.a+lim{3} x→a x-a 5a² +4a+3. For the last four steps, write the abbreviation for the Limit Law used in that step over the "=" sign. Using complete sentences, describe in words how the Limit Law (SL) was used in the first line.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:When writing the solutions for limit problems (and problems in general), we want to
communicate our solution to others, and the steps by which our solution is justified. Behold the
following:
lim{5x² + 4x +3}
SL
=
=
=
=
=
lim{5x²)+lim (4x) + lim{3}
x→a
x→a
x→a
5-lim{x} +4-limx+lim {3}
x-a
x→a
5.(limx) +4.lim x + lim{3}
x-a
x-a
5.a² +4.a+lim{3}
x→a
x-a
5a² +4a+3.
For the last four steps, write the abbreviation for the Limit Law used in that step over the "="
sign. Using complete sentences, describe in words how the Limit Law (SL) was used in the first
line.
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