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Prove the following: - f ( n ) = n 3 + 2 0 n + 1 i s O ( n 3 ) -

Prove the following:

$- f (n) = n^{3} + 20 n + 1 i s O (n^{3})$

$- f (n) = n^{3} + 20 n + 1 i s$ not $O (n^{2})$

$- f (n) = n^{3} + 20 n + 1 i s O (n^{4})$

$- f (n) = n^{3} + 20 n i s (n^{2})$

$- f (n) = 4 n^{2} - 5 n + 3 i s O (n^{2})$

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Question

Prove the following: - f ( n ) = n 3 + 2 0 n + 1 i s O ( n 3 ) -

Prove the following: -f(n)=n3+20n+1isO(n3) -f(n)=n3+20n+1is not O(n2) -f(n)=n3+20n+1isO(n4) -f(n)=n3+20nis(n2) -f(n)=4n2-5n+3isO(n2)

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Prove the following:

$- f (n) = n^{3} + 20 n + 1 i s O (n^{3})$

$- f (n) = n^{3} + 20 n + 1 i s$ not $O (n^{2})$

$- f (n) = n^{3} + 20 n + 1 i s O (n^{4})$

$- f (n) = n^{3} + 20 n i s (n^{2})$

$- f (n) = 4 n^{2} - 5 n + 3 i s O (n^{2})$