4. Review from last time: Using a calculator, complete the table below to find the limit as x approaches 3. x f(x) 2.9 lim f(x) X-3- 2.99 f(x) 2.999 = x - 3 x² + 2x - 15 3 Based on your observation, what are the values of each the limits below? lim f(x) x-3+ 3.001 = 3.01 lim f(x) = 3.1

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 2WE
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Related questions
Question
Check Your Understanding
2. Let f(x) = x, and let a be any real number.
Sketch the Limit Law 8 graphically. (Hint: This
is similar to what was done in the video for
Limit Law 7).
3. Given that
lim x = a
x→a
g(x)h(x)
f) lim
x→2 f(x)
lim f(x) = 4,
x→2
lim g(x) = -2,
x→2
f(x)
lim h(x) = 0
x→2
use the limit laws presented in the video and in Section 1.4 in your textbook to evaluate the
following limit. Though it may be tedious, state what limit law you use after each step.
Transcribed Image Text:Check Your Understanding 2. Let f(x) = x, and let a be any real number. Sketch the Limit Law 8 graphically. (Hint: This is similar to what was done in the video for Limit Law 7). 3. Given that lim x = a x→a g(x)h(x) f) lim x→2 f(x) lim f(x) = 4, x→2 lim g(x) = -2, x→2 f(x) lim h(x) = 0 x→2 use the limit laws presented in the video and in Section 1.4 in your textbook to evaluate the following limit. Though it may be tedious, state what limit law you use after each step.
4. Review from last time:
Using a calculator, complete the table below to find the limit as x approaches 3.
X
f(x)
2.9
2.99
lim f(x)=
f(x)=
2.999
=
x - 3
x² + 2x - 15
3
Based on your observation, what are the values of each the limits below?
3.001
lim f(x) =
3.01
lim f(x) =
3.1
Transcribed Image Text:4. Review from last time: Using a calculator, complete the table below to find the limit as x approaches 3. X f(x) 2.9 2.99 lim f(x)= f(x)= 2.999 = x - 3 x² + 2x - 15 3 Based on your observation, what are the values of each the limits below? 3.001 lim f(x) = 3.01 lim f(x) = 3.1
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