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f (n) + g(n) = 0(max(f(n), g(n)))

f (n) + g(n) = 0(max(f(n), g(n)))

Advanced Engineering Mathematics
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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f (n) +g(n) = 0(max(f(n), g(n)))
Transcribed Image Text:f (n) +g(n) = 0(max(f(n), g(n)))
Expert Solution
Step 1⁷

Big Theta notation (Θ) : 

f(n) is said to be Θ(g(n)) if there exist positive constants C1 and C2 such that f(n) lies between C1 g(n) and C2 g(n).

i.e. there exists a positive integer n0 such that

O ≤ C1 g(n) ≤ f(n) ≤ C2 g(n)   for   n≥n0

 
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