a. (h)} - x³ = x³ + h³ – x³ = h³ 1 b. a + b 1 a 1 + b a с. d. Vx + h - Vx = Vx + Vh - Vx = Vh sin 2x е. sin 2 a + bx f. 1 + bx a x - 1 13 – 1 g. lim xi x - 1 1 - 1 h. sin(x + h) – sin x sin x + sin h- sin x = sin h i. ax = bx, so d = b x² – 9 j. To find lim it is necessary to rewrite by 3 4 х — 3 factoring x² – 9.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 7E
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Given below shown is a list of ten common errors involving algebra, trigonometry, and limits that students frequently make in calculus. Group members should examine each error and describe the mistake. Where possible, correct the error. Finally, group members should offer suggestions for avoiding each error.

a. (h)} - x³ = x³ + h³ – x³ = h³
1
b.
a + b
1
a
1
+ b
a
с.
Transcribed Image Text:a. (h)} - x³ = x³ + h³ – x³ = h³ 1 b. a + b 1 a 1 + b a с.
d. Vx + h - Vx = Vx + Vh - Vx = Vh
sin 2x
е.
sin 2
a + bx
f.
1 + bx
a
x -
1
13 – 1
g. lim
xi x - 1
1 - 1
h. sin(x + h) – sin x sin x + sin h- sin x = sin h
i. ax = bx, so d = b
x² – 9
j. To find lim
it is necessary to rewrite
by
3
4 х — 3
factoring x² – 9.
Transcribed Image Text:d. Vx + h - Vx = Vx + Vh - Vx = Vh sin 2x е. sin 2 a + bx f. 1 + bx a x - 1 13 – 1 g. lim xi x - 1 1 - 1 h. sin(x + h) – sin x sin x + sin h- sin x = sin h i. ax = bx, so d = b x² – 9 j. To find lim it is necessary to rewrite by 3 4 х — 3 factoring x² – 9.
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