Match the following 10 functions into 5 pairs. If f(n) is paired with g(n) then f(n) = 0(g(n)), log₂ (n²) log2 (n) n²/100 2n log₂ (n) 2n+1 n 100m²-500m log(2") logio (n)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2 More Complexity
Match the following 10 functions into 5 pairs. If f(n) is paired with g(n) then f(n) = O(g(n)),
2
log(2n) logio (n)
log₂ (n²) log2 (n)
log² (n))
2n+1
n
(2n+1
(n log(2¹))
(log₂ (n²)
(n²/100
(2n
log₂ (n))
100n² – 500n)
log10 (n))
n²/100
2n log₂ (n)
100m² - 500n
Transcribed Image Text:2 More Complexity Match the following 10 functions into 5 pairs. If f(n) is paired with g(n) then f(n) = O(g(n)), 2 log(2n) logio (n) log₂ (n²) log2 (n) log² (n)) 2n+1 n (2n+1 (n log(2¹)) (log₂ (n²) (n²/100 (2n log₂ (n)) 100n² – 500n) log10 (n)) n²/100 2n log₂ (n) 100m² - 500n
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