Ranking functions in order of growth. Sort all the functions below in increasing order of asymptotic (big-O) growth. If some have the same asymptotic growth, then be sure to indicate that. As usual, lg means base 2. a. n¹/² lg4 (n) b. nlgn C. 5n d. 55n e. 44^n f. n4 g. 5n h. nn/4

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Ranking functions in order of growth. Sort all the functions below in increasing order of
asymptotic (big-O) growth. If some have the same asymptotic growth, then be sure to
indicate that. As usual, Ig means base 2.
a. n¹/2 lg4 (n)
b. nen
C. 5h
d. 55n
e. 44^n
f. n4
g. 5n
h. nn/4
i.
4 lg lg n
j. 4^4
Transcribed Image Text:Ranking functions in order of growth. Sort all the functions below in increasing order of asymptotic (big-O) growth. If some have the same asymptotic growth, then be sure to indicate that. As usual, Ig means base 2. a. n¹/2 lg4 (n) b. nen C. 5h d. 55n e. 44^n f. n4 g. 5n h. nn/4 i. 4 lg lg n j. 4^4
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