[Problem 1] Prove the following statements formally and identify constants c and no explicitly, or oth- erwise disprove the statements. n² +9n is O(n²) a) f(n) = b) f(n)=8n+ 5 is O(n) c) f(n) = 3n²-7n is not O(n) d) f(n) = (n-4)² is O(n)
[Problem 1] Prove the following statements formally and identify constants c and no explicitly, or oth- erwise disprove the statements. n² +9n is O(n²) a) f(n) = b) f(n)=8n+ 5 is O(n) c) f(n) = 3n²-7n is not O(n) d) f(n) = (n-4)² is O(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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![[Problem 1] Prove the following statements formally and identify constants c and no explicitly, or oth-
erwise disprove the statements.
a) f(n) = n²+ 9n is O(n²)
b)
f(n) = 8n +5 is O(n)
c)
f(n) = 3n² - 7n is not O(n)
d) f(n) = (n-4)² is O(n)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F672bf286-8abe-4b07-9ca1-0d5b2612956c%2Fc79c9665-eea4-4798-8b42-6c43e07f7e30%2Fg40lxt_processed.png&w=3840&q=75)
Transcribed Image Text:[Problem 1] Prove the following statements formally and identify constants c and no explicitly, or oth-
erwise disprove the statements.
a) f(n) = n²+ 9n is O(n²)
b)
f(n) = 8n +5 is O(n)
c)
f(n) = 3n² - 7n is not O(n)
d) f(n) = (n-4)² is O(n)
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