Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
8th Edition
ISBN: 9781305279148
Author: Stewart, James, St. Andre, Richard
Publisher: Cengage Learning
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Chapter 2.4, Problem 2PT
To determine
The value of
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Given that
lim x→1 (4x − 3) = 1,
illustrate Definition 2 by finding values of δ that correspond to ε = 0.1, ε = 0.05, and ε = 0.01.
ε = 0.1
δ
≤
1
ε = 0.05
δ
≤
2
ε = 0.01
δ
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3
In formally proving that limx→1 (x^2+x)=2, let ε>0 be arbitrary. Chooseδ =min(εm , 1). Determine the smallest value of m that would satisfy the proof.
In formally proving that lim x→1 (x2 + x) = 2, let ε > 0 be arbitrary. Choose δ = min (ε/m, 1).Determine the smallest value of m that would satisfy the proof.
Chapter 2 Solutions
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Ch. 2.1 - Prob. 1PTCh. 2.1 - Prob. 2PTCh. 2.1 - Prob. 3PTCh. 2.1 - True or False:
The slope of a tangent line may be...Ch. 2.2 - Prob. 1PTCh. 2.2 - Prob. 2PTCh. 2.2 - Prob. 3PTCh. 2.2 - Prob. 4PTCh. 2.2 - Prob. 5PTCh. 2.2 - Prob. 6PT
Ch. 2.2 - True or False: The graph in question 3 has a...Ch. 2.3 - Prob. 1PTCh. 2.3 - Prob. 2PTCh. 2.3 - Prob. 3PTCh. 2.3 - Prob. 4PTCh. 2.3 - Prob. 5PTCh. 2.3 - Prob. 6PTCh. 2.3 - Prob. 7PTCh. 2.4 - Prob. 1PTCh. 2.4 - Prob. 2PTCh. 2.4 - Prob. 3PTCh. 2.4 - Prob. 4PTCh. 2.5 - Sometimes, Always, or Never: If limxaf(x) and f(a)...Ch. 2.5 - Prob. 2PTCh. 2.5 - Prob. 3PTCh. 2.5 - Prob. 4PTCh. 2.5 - Prob. 5PTCh. 2.5 - Prob. 6PTCh. 2.6 - Prob. 1PTCh. 2.6 - Prob. 2PTCh. 2.6 - Prob. 3PTCh. 2.6 - Prob. 4PTCh. 2.6 - Prob. 5PTCh. 2.6 - Prob. 6PTCh. 2.6 - Prob. 7PTCh. 2.6 - Prob. 8PTCh. 2.6 - Prob. 9PTCh. 2.7 - Prob. 1PTCh. 2.7 - The slope of the tangent line to y = x3 at x = 2...Ch. 2.7 - Prob. 3PTCh. 2.7 - Prob. 4PTCh. 2.7 - Prob. 5PTCh. 2.7 - Prob. 6PTCh. 2.7 - Prob. 7PTCh. 2.7 - Prob. 8PTCh. 2.7 - Prob. 9PTCh. 2.7 - Which is the largest? a) f(a) b) f(b) c) f(c) d)...Ch. 2.8 - True or False: f(x) = tan x is differentiable at...Ch. 2.8 - Prob. 2PTCh. 2.8 - Prob. 3PTCh. 2.8 - Prob. 4PT
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