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14. Let f:N R+, 9:N R+ and h:N R+ be three functions. Prove that if f = O(g) and g= (h), then f = O(h).

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14. Let f:N R+, 9:N R+ and h:N R+ be three functions. Prove that if f = O(g) and g= (h), then f = O(h). 12. Let f:N R+ and g:N R+ be defined by f(n) = 2n3 +n +10 and g(n) = n3 + 4n2 + 1 for n E N. Show that f = O(g) 8. Prove that every prime except one has the form a? 62 for some positive integers a and b. 14. Let f:N R+, 9:N R+ and h:N R+ be three functions. Prove that if f = O(g) and g= (h), then f = O(h). 12. Let f:N R+ and g:N R+ be defined by f(n) = 2n3 +n +10 and g(n) = n3 + 4n2 + 1 for n E N. Show that f = O(g) 8. Prove that every prime except one has the form a? 62 for some positive integers a and b

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