Important results over real valued functions

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Reference no: EM1318394

Verifying some important results over real valued functions.

Prove or disprove:

Let f,g,h be real-valued functions and let f(n) = θ(g(n)) and g(n) = O(h(n)).Then, f(n) = O(h(n)).

2f(n²) = θ (2f²(n)).

n^0.99999 = Ω (n)

Reference no: EM1318394

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