1. True or False: If the following statements are true, explain why. If it is false, explain why or given an example that disproves the statement. 2x 8 = lim 2x - lim 8 lim x->4x-4 x-4 а. x→4 x-4 x→4 x-4 f(x) b. If lim f(x) = 0 and lim g(x)=0, then lim does not exist,s insten06 x+5 g(x) x→5 1 od oldiazog nodW atimil gniwollot orli sinulsya omun c. One night, Kenny was doing his homework. One problem said that lim g(x)=0. x→3 Kenny concluded that the function g has a root at x = 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 51RE
icon
Related questions
Question

A-C

1. True or False: If the following statements are true, explain why. If it is false, explain
why or given an example that disproves the statement.
2x
8.
2x
8.
lim
x→4 x-4 x-4
= lim
- lim
а.
%3D
x→4 x-4
x→4 x-4
to ouley orli oi anogsd isdW .21odmun sviliaoq bne Wcogqu
20bborc y sug D ste boam
f (x)
b. If lim f(x) = 0 and lim g(x) = 0, then lim
x→5 g(x)
does not exist,S nstenos
x→5
x->5
1 ovisfeoq s eiW oeoggu2d
d oldizzog odW atimil gniwollol ords oinulev omun
c. One night, Kenny was doing his homework. One problem said that lim g (x)=0.
x→3
Kenny concluded that the function g has a root at x = 3.
Transcribed Image Text:1. True or False: If the following statements are true, explain why. If it is false, explain why or given an example that disproves the statement. 2x 8. 2x 8. lim x→4 x-4 x-4 = lim - lim а. %3D x→4 x-4 x→4 x-4 to ouley orli oi anogsd isdW .21odmun sviliaoq bne Wcogqu 20bborc y sug D ste boam f (x) b. If lim f(x) = 0 and lim g(x) = 0, then lim x→5 g(x) does not exist,S nstenos x→5 x->5 1 ovisfeoq s eiW oeoggu2d d oldizzog odW atimil gniwollol ords oinulev omun c. One night, Kenny was doing his homework. One problem said that lim g (x)=0. x→3 Kenny concluded that the function g has a root at x = 3.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell