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Solve the following using lim of infinity to prove: 1)Prove that n^2 is in Theta(n^2 + 20 n) 2) Prove that n log n is

Solve the following using lim of infinity to prove:

1)Prove that n^2 is in Theta(n^2 + 20 n)

2) Prove that n log n is in Omega (100 n)

3) Prove that n^2 is in O(0.01 n^3)

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