Question: a). Find the smallest integer n for which (2x^5 + 3x)/(x^2 + 6) is O(xn). Prove your result using the definition of big oh in

a). Find the smallest integer n for which (2x^5 + 3x)/(x^2 + 6) is O(xn). Prove your result using the definition of big oh in the text

b)Prove, by finding constants that satisfy the definition of the order of magnitude, that f(x) = 2x³ + 4x is the same order of magnitude as g(x) = 17x³ + x + 10.

c)Prove that 496 is a perfect number.Write 496 in the form 2^p-1 (2^p - 1).

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