Which of the following sequences are convergent sequences? Select all that apply. 2 an ==n 4 □an 0 0 an an = an an = 2n n+4 222 n² 4 n 2n²n +4 3n²+1 2 2 n²
Which of the following sequences are convergent sequences? Select all that apply. 2 an ==n 4 □an 0 0 an an = an an = 2n n+4 222 n² 4 n 2n²n +4 3n²+1 2 2 n²
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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![**Which of the following sequences are convergent sequences? Select all that apply.**
- [✔] \( a_n = \frac{2}{4n} \)
- [ ] \( a_n = \frac{2n}{n + 4} \)
- [ ] \( a_n = \frac{2n}{n^2} \)
- [ ] \( a_n = 2 - \frac{4}{n} \)
- [✔] \( a_n = \frac{2n^2 - n + 4}{3n^2 + 1} \)
- [✔] \( a_n = \frac{2}{n^2} \)
**Instructions**:
Analyze each sequence to determine whether it converges as \( n \) approaches infinity. Select all the sequences that are convergent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41a4f8e2-50b1-40c5-ab3a-6358b729bd6f%2F30c16f5c-6c0c-45ab-ad1b-ad2c6b9015cf%2Fzcp1i3_processed.png&w=3840&q=75)
Transcribed Image Text:**Which of the following sequences are convergent sequences? Select all that apply.**
- [✔] \( a_n = \frac{2}{4n} \)
- [ ] \( a_n = \frac{2n}{n + 4} \)
- [ ] \( a_n = \frac{2n}{n^2} \)
- [ ] \( a_n = 2 - \frac{4}{n} \)
- [✔] \( a_n = \frac{2n^2 - n + 4}{3n^2 + 1} \)
- [✔] \( a_n = \frac{2}{n^2} \)
**Instructions**:
Analyze each sequence to determine whether it converges as \( n \) approaches infinity. Select all the sequences that are convergent.
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