Example/fc

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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Please prove the question in attached format 

please please i am begging to you please prove this in two columns 

statements          |          Justification

Example/format
work: If lim f(t) =F and lim gl4)= G
delta
567
lim (2ft) + 4g(t)= 2 F+46
then
n: VE7O 35 >0 s.t 0<lt-cl< S;>I$le)-F/<ɛ
VESO 35>0 s.t Oclt-clas→ Iglt)-G|<E
3.
O Given any
of zO
E> O
need parentheses
= Imin{Sin >O (0 Grven
O whenever o<It-cl< S,
ve have Oalt-c|<Son
o<lt-cl« Seis
31614)-Fl<AND Iglt)-Gl<E/8
2 |f(t\-FI<%½ AND 41glt)-G|<E/2
Oby choice ofdE
In stepl
AND
O Given
O acbandc=2?0
→ acabc
also c=470
125(e)-2F1+14glt)-46|<€
VI triangle ineq
O12$(+)-2F +4glé)-4G|< E
12f(+)+ 4g(f) -2F - 461< E
%3D
Final (24(t)+4 glt) - (2F+4€)| <E
Qtrrangleineg
Justity
Transcribed Image Text:Example/format work: If lim f(t) =F and lim gl4)= G delta 567 lim (2ft) + 4g(t)= 2 F+46 then n: VE7O 35 >0 s.t 0<lt-cl< S;>I$le)-F/<ɛ VESO 35>0 s.t Oclt-clas→ Iglt)-G|<E 3. O Given any of zO E> O need parentheses = Imin{Sin >O (0 Grven O whenever o<It-cl< S, ve have Oalt-c|<Son o<lt-cl« Seis 31614)-Fl<AND Iglt)-Gl<E/8 2 |f(t\-FI<%½ AND 41glt)-G|<E/2 Oby choice ofdE In stepl AND O Given O acbandc=2?0 → acabc also c=470 125(e)-2F1+14glt)-46|<€ VI triangle ineq O12$(+)-2F +4glé)-4G|< E 12f(+)+ 4g(f) -2F - 461< E %3D Final (24(t)+4 glt) - (2F+4€)| <E Qtrrangleineg Justity
Proue
If lim f(x)=2 and lim g(x)=)
メ→5
then lim 2$(x) +
メラ5
Transcribed Image Text:Proue If lim f(x)=2 and lim g(x)=) メ→5 then lim 2$(x) + メラ5
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