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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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**Exercise 4.** Write the following functions in increasing order of growth (so \( f_1(n) = o(f_2(n)) \), etc.):

\[ 2^{2^{\log n}}, \, n \log(n^3), \, n^{3/2}, \, \log(n) \times \log(n). \]

\[ f_1 = \]

\[ f_2 = \]

\[ f_3 = \]

\[ f_4 = \]
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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