What is the order of the followings – Use the Max Rule

1. 18n2log2n + 19n2 + 3000000000

2. n10 + 10n

3. 5n3 + 5n2 + 5n + 1010

4. n3 + 500n3 + n3/100+ n2 * (logn)2

5. n*(logn)2 + n2*(logn

6. Show that ax grows slower than bx as x →∞, if a < b.

7. Show that ln(x) grows at the same rate as ln(x3− 3x + 1)

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