Determine if the following statements are true or false. In either case, provide a formal proof...

Determine if the following statements are true or false.

In either case, provide a formal proof using the definitions of the big-O, big-Omega, and big-Theta notations. For instance, to formally prove that f (n) ∈ O(g(n)) or f (n) ∉ O(g(n)), we need to demonstrate the existence of a constant c and a sufficient large n0 such that f (n) ≤ c g(n) for all n ≥ n0, or showing that there are no such values.

a) 10000n² ∈ O(n⁴). (Big O)

b) 2ⁿn² ∈ Ω(3ⁿ). (Big Omega)
c) sqroot(3n² + 4n) ∈ Θ(n). (Big Theta)

Could i please ask to see hand written working if possible?? Helps me understands better ! Thanks

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venereology answered 1 week ago

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