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 2E

(a)

To determine

To Find: The example of a bounded sequence that is not convergent.

(b)

To determine

To Find: The example of a bounded sequence that is not convergent.

(c)

To determine

To Find: The example of a converge sequence that is not monotone.

(d)

To determine

To Find: The example of a divergent sequence x such that the sequence whose nth term is |xn| convergence.

(d)

To determine

To Find: The example of a divergent sequence x such that the sequence whose nth term is |xn| convergence.

(e)

To determine

To Find: The example of a increasing sequence bounded above by 2 that does not converge to 2.

(f)

To determine

To Find: The example of a increasing sequence converge to π2 .

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Remix 4. Direction Fields/Phase Portraits. Use the given direction fields to plot solution curves to each of the given initial value problems. (a) x = x+2y 1111 y = -3x+y with x(0) = 1, y(0) = -1 (b) Consider the initial value problem corresponding to the given phase portrait. x = y y' = 3x + 2y Draw two "straight line solutions" passing through (0,0) (c) Make guesses for the equations of the straight line solutions: y = ax.
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A Transition to Advanced Mathematics

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