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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