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Consider the following functions, f ( n ) = n ( log n ) 2 and g ( n ) = n 1 . 5
Consider the following functions, fn nlog n
and gn n
Which grows more
quickly? That is which would be a worse timecomplexity. Express your answer in
terms of one of the orderclasses weve studied, ie something in a form like fnTheta gn
but with something other than BigTheta. Explain your answer with a short proof; you may
use any definitions from the course slides.
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