Exercise 4. Write the following functions in increasing order of growth (so f₁(n) = o(f₂(n)), etc.): 22log n, n log(n³), n³/2, log(n) x log(n). f₁ = f₂ = f3 = f4=
Exercise 4. Write the following functions in increasing order of growth (so f₁(n) = o(f₂(n)), etc.): 22log n, n log(n³), n³/2, log(n) x log(n). f₁ = f₂ = f3 = f4=
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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![**Exercise 4.** Write the following functions in increasing order of growth (so \( f_1(n) = o(f_2(n)) \), etc.):
\[ 2^{2^{\log n}}, \, n \log(n^3), \, n^{3/2}, \, \log(n) \times \log(n). \]
\[ f_1 = \]
\[ f_2 = \]
\[ f_3 = \]
\[ f_4 = \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63a2ecd4-d40e-4f58-bfeb-302941b5ae7f%2Fb32fef7c-9ed9-449d-90b1-bbc0868ea981%2Fm57dom_processed.png&w=3840&q=75)
Transcribed Image Text:**Exercise 4.** Write the following functions in increasing order of growth (so \( f_1(n) = o(f_2(n)) \), etc.):
\[ 2^{2^{\log n}}, \, n \log(n^3), \, n^{3/2}, \, \log(n) \times \log(n). \]
\[ f_1 = \]
\[ f_2 = \]
\[ f_3 = \]
\[ f_4 = \]
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