5.Explain why 3x` = (x?) is true and 3x? – x® is not true. (8 pts)

Question

Question

Answer 1

Answer #1

For c1 = 1 and c2 = 4 and n >= 0, we have

0 <= x² <= 3x² < 4x²

Hence, 3x² = Θ(x²)

On the other hand, for larger values of x, 3x² and x² are not same.

For example, let x = 100000

Then, 3x² = 30000000000

And, x² = 10000000000

Clearly, 3x² ~ x²

Answer 2

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