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Use the limit test, do not plug in numbers, please. (10 points) 1. Place these functions in order from slowest asymptotic growth to fastest asymptotic

image text in transcribedUse the limit test, do not plug in numbers, please.

(10 points) 1. Place these functions in order from slowest asymptotic growth to fastest asymptotic growth. You will want to simplify them algebraically before comparing them. Give a short justification (a proof is not necessary) of how you came to this ordering. The notation lg n stand for log, n. fo(n) = 2019n fi(n) = glgn f2(n) = n6 n4 n3 n f3(n) = 32n fa(n) = (n ) f5(n) f6(n fr(n) fo(n) = = = = Ign) ln (In n+1) n!gn gn/3 Inn+1

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