Question: Explain why: a. If c > 0, n c = o(1) as n . b. If c 0, cz n has the same

Explain why:

a. If c > 0, n–c = o(1) as n → ∞.

b. If c ≠ 0, czn has the same order as zn; that is, o(czn) is equivalent to o(zn) and O(czn) is equivalent to O(zn).

c. o(yn) o(zn) = o(yn zn), O(yn) O(zn) = O(yn zn), o(yn) O(zn) = o(yn zn).

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