Course Solutions Uncategorized (Solved) : General Say Polynomials Grow Faster Linear Functions Take Following Functions Log 3 N O N Q31172956 . . . .

(Solved) : General Say Polynomials Grow Faster Linear Functions Take Following Functions Log 3 N O N Q31172956 . . . .

 

In general we say that polynomials grow faster than linearfunctions. But take the following functions, we have that log^3(n)= O(n). Here the linear term grows much faster. However, when weincrease the power we get the opposite, e.g. n = O(log^7(n)), wherethe log term grows faster. How can I determine where the limit lies(or where the equality shifts) for such cases? Are there generalguidelines to follow?

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