Consider the following functions: f₁(n) = 2√n f₂(n) = n(√n) / n20 f₃(n) =…

Consider the following functions:

f₁(n) = 2√n

f₂(n) = n(√n) / n20

f₃(n) = 2((log n)^(log log n))

f₄(n) = n√log log n

f₅(n) = (log n)(log n)^0.9 

Arrange the functions in decreasing order of their asymptotic growth rate as n→∞.