The big O notation f ( n ) O ( g ( n )) if there are constants C, K 0 such that for all n K , f ( n ) Cg ( n ) Find the Big O estimates using formal definitions 1 6 n 2 16 n 55 O ( n 2 ) , using C 7 Whats the smallest value of K you can choose 2 8 n 5 13 n 4 5 n 3 19 n 2 37 n 9 O ( n 5 ) , using any values of C and K

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Question: The big O notation f ( n ) O ( g ( n )) if there are constants C, K > 0 such that for

The big O notation "f(n) O(g(n))" if there are constants C, K > 0 such that for all n K, f(n) Cg(n) Find the Big O estimates using formal definitions:

1. 6n²+ 16n 55 O(n²), using C = 7. Whats the smallest value of K you can choose?

8n⁵ 13n⁴+ 5n³ 19n² 37n + 9 = O(n⁵),

using any values of C and K .

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