Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Consider the sequence**
\[ 0, \frac{1}{2}, \frac{2}{3}, \frac{1}{4}, \frac{4}{5}, \frac{1}{6}, \frac{6}{7}, \ldots \]
\[
a_{2n-1} = \frac{2n-2}{2n-1}, \quad a_{2n} = \frac{1}{2n},
\]
**Which of the following is true?**
- The sequence is bounded, NOT monotone, and diverges.
- The sequence is bounded, NOT monotone, and converges.
- The sequence is NOT bounded, and diverges.
- The sequence is monotone, bounded, but diverges.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25fce74d-50ce-4010-8593-c528dce466b9%2Ff3bf3261-590b-42c9-9e16-a84bbe670d51%2F24ax43_processed.png&w=3840&q=75)
Transcribed Image Text:**Consider the sequence**
\[ 0, \frac{1}{2}, \frac{2}{3}, \frac{1}{4}, \frac{4}{5}, \frac{1}{6}, \frac{6}{7}, \ldots \]
\[
a_{2n-1} = \frac{2n-2}{2n-1}, \quad a_{2n} = \frac{1}{2n},
\]
**Which of the following is true?**
- The sequence is bounded, NOT monotone, and diverges.
- The sequence is bounded, NOT monotone, and converges.
- The sequence is NOT bounded, and diverges.
- The sequence is monotone, bounded, but diverges.
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