6. a. Prove that every polynomial of degree k, p(n) = aknk + ak−1nk−1 + ... + a0 with ak > 0, belongs to (nk). b. Prove that exponential functions an have different orders of growth for different values of base a > 0.
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6. a. Prove that every polynomial of degree k, p(n) = aknk + ak−1nk−1 + ... + a0
with ak > 0, belongs to (nk).
b. Prove that exponential functions an have different orders of growth for
different values of base a > 0.
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