Describe the long run behavior of f(n) = - 4n° + 2n° – n² + 4 As n → - 00, f(n) → As n → 0, f(n) → ?
Describe the long run behavior of f(n) = - 4n° + 2n° – n² + 4 As n → - 00, f(n) → As n → 0, f(n) → ?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Question 4
Describe the long run behavior of \( f(n) = -4n^9 + 2n^6 - n^2 + 4 \).
- As \( n \to -\infty \), \( f(n) \to \) [Text Box]
- As \( n \to \infty \), \( f(n) \to \) [Text Box]
**Explanation:**
- This question focuses on understanding the end behavior of the polynomial function \( f(n) \).
- The highest degree term, \(-4n^9\), will dominate the behavior of the function as \( n \) approaches positive or negative infinity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbfae6b38-b444-46af-adca-f5d33cb9ef14%2Fa383e7e0-d577-4d59-adc2-7f0b0baad1e4%2Fz6qf7_processed.png&w=3840&q=75)
Transcribed Image Text:### Question 4
Describe the long run behavior of \( f(n) = -4n^9 + 2n^6 - n^2 + 4 \).
- As \( n \to -\infty \), \( f(n) \to \) [Text Box]
- As \( n \to \infty \), \( f(n) \to \) [Text Box]
**Explanation:**
- This question focuses on understanding the end behavior of the polynomial function \( f(n) \).
- The highest degree term, \(-4n^9\), will dominate the behavior of the function as \( n \) approaches positive or negative infinity.
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