Arrange Functions Ascending Order Magnitude Growth Rate Justify Location Function Q37106451

Arrange the functions in ascending order by the magnitude of thegrowth rate and justify the location of each function

/2(n)-nlg lg n 3(n)-4gn fs(n)-lg(n!)

/2(n)-nlg lg n 3(n)-4’gn fs(n)-lg(n!) Show transcribed image text /2(n)-nlg lg n 3(n)-4’gn fs(n)-lg(n!)


Answer


ורי take מ 10 g 10 /V (10) - 249- q3 Jom above resuts wCan arrange them in acindy ord 3 ( n

F_1 (n) = lgn^n, f_2 = n lg lg n, f_3(n) = 2^lgn, f_4(n) = 2^lgn f_5 = lg(n!) Take n = 10 f_1(10) = lg10^10 = 23.025, f_2(10) = 10

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