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As CLRS book,page 260 stated,

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I wouldn't have any problem if the author says the bound is eventually
enter image description here or even
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What kind of theories shall we apply to simplify the original result, i.e, cancelling the factor 1/n of a. Since n is one of inputs of the function, is it necessary to cancel it by treating it as a constant? What i've missed? is anyone got the same confusion T_T?

absuu
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1 Answers1

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alpha/n is asimptotically smaller (has lower order) being compared with alpha, so it might be ignored. When n (hashtable size, AFAIU) becomes larger, 1/n value tends to zero.
Note - wiki table does not contain 1/n function because it is evaluated as having zero impact

Alike situation - if time is Theta(n^2 + 100*n + 10000), dominating summand is quadratic, and

Theta(n^2 + 100*n + 10000)` = Theta(n^2)
MBo
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