Question

I need to prove (a + 10)^10 = Θ(a^10).

I know that by the definition of Θ I need to squeeze the function with two constants but I'm not sure how to do that.

Answer #1

For theta notation :

1.Firstly proved first function is big oh of second function

2.Secondly proved first function is omega of second function

Combining both 1 and 2 , first function is theta of second function

1. Using the definition of Θ, prove that if f(n) ∈ Θ(g(n)), then
g(n) ∈ Θ(f(n)).

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