A Transition to Advanced Mathematics
A Transition to Advanced Mathematics
8th Edition
ISBN: 9781285463261
Author: Douglas Smith, Maurice Eggen, Richard St. Andre
Publisher: Cengage Learning
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Chapter 7.4, Problem 8E
To determine

To find: The sequence xn=(1+1n)n is increasing by xn<xn+1 for all nN .

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In Exercises 1-14, state whether each statement is true or false. If false, give a reason. 1. The set of stores located in the state of Wyoming is a well- defined set. 2. The set of the three best songs is a well-defined set. 3. maple = {oak, elm, maple, sycamore} 4{} cơ 5. {3, 6, 9, 12,...} and {2, 4, 6, 8, ...} are disjoint sets. 6. {Mercury, Venus, Earth, Mars} is an example of a set in roster form. 7. {candle, picture, lamp} = {picture, chair, lamp } 8. {apple, orange, banana, pear} is equivalent to {tomato, corn, spinach, radish}.
Exercises Evaluate the following limits. 1. lim cot x/ln x +01x 2. lim x² In x +014 3. lim x* x0+ 4. lim (cos√√x)1/x +014 5. lim x2/(1-cos x) x10 6. lim e*/* 818 7. lim (secx - tan x) x-x/2- 8. lim [1+(3/x)]* x→∞0

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A Transition to Advanced Mathematics

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