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I am so confused by how to begin proving or disproving this. Any help would be much appreciated.

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    $\begingroup$ Considering $\phi(n)=nf(n)\in \omega(f(n))$ should help. $\endgroup$
    – zkutch
    May 8 at 19:53
  • $\begingroup$ Please explain one or two of your confusions. It is expected of you to show some effort. Otherwise, this question will be closed probably. $\endgroup$
    – John L.
    May 9 at 0:52

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