Problem 1. Use the definition of Limit of functions to prove that 7x+10) lim (7x+10)=17 341 3 Let &>o, take 5= 1/72. >5 Take

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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Hello there, can you help me solve the second problem? Do you see the first problem in the picture with the solution? 

I would like you to do a similar method as the first problem for the second problem. Thanks!

Problem 1. Use the definition of Limit of functions to prove that
(7x+10)=17
f(x)=(7x+10) lim
xl
C:1
に1
Proof Let & So, take 5= 1/2
If o< |x-1K 5, then
17x+10-171=17メーヌ)
ニメー
<=x()=8.
limx→-2 f(x) does not exist where f(x)=
5x-4
=ε.
Problem 2. Use the definition of Limit of functions to prove that
3x+1
-1f(x) - L) < { whenever
o<lx-cl<s
17x+10-1<
114人と
if x≤5
if x > 5
メールくりく
メーリー。
<x<
Take of = ²/7
Transcribed Image Text:Problem 1. Use the definition of Limit of functions to prove that (7x+10)=17 f(x)=(7x+10) lim xl C:1 に1 Proof Let & So, take 5= 1/2 If o< |x-1K 5, then 17x+10-171=17メーヌ) ニメー <=x()=8. limx→-2 f(x) does not exist where f(x)= 5x-4 =ε. Problem 2. Use the definition of Limit of functions to prove that 3x+1 -1f(x) - L) < { whenever o<lx-cl<s 17x+10-1< 114人と if x≤5 if x > 5 メールくりく メーリー。 <x< Take of = ²/7
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