Q14

MCQ1 mark, −0.33

Consider the following functions, where $n$ is a positive integer.

n^{1 / 3}, \log (n), \log (n!), 2^{\log (n)}

Which one of the following options lists the functions in increasing order of asymptotic growth rate? Note: Assume the base of log to be $2$ .

(A)

$\log (n), n^{1 / 3}, 2^{\log (n)}, \log (n!)$

(B)

$n^{1 / 3}, \log (n), \log (n!), 2^{\log (n)}$

(C)

$\log (n), n^{1 / 3}, \log (n!), 2^{\log (n)}$

(D)

$2^{\log (n)}, n^{1 / 3}, \log (n), \log (n!)$

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