Question
Asked Dec 8, 2019
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  1. Order the following: O(n2), O(12 + 7n), O(n log(n) + 300 n2 + 1/125 n3)
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Expert Answer

Step 1

The function is represented in the form of O(g(n)) if there is a positive integer( n0) and constant(c), such that,

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f (n)<c-g(n) ▼nzn,

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Step 2

For O(12+7n):

For some constant k and some n, n>n0

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12 + 7n s kn So, O(12+ 7n) = 0(n)

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Step 3

For O(nlogn+300n2+1/125n3):

For some constant c and ...

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Lw' sen ² + n 125 nlogn+300n So, )=-0(r") O nlog n+300n² + 125

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