Question: If g: Z+ R and c R, we define the function eg: Z+ R by (c(g)(n) = c(g(n)), for each n

If g: Z+ → R and c ∈ R, we define the function eg: Z+ → R by (c(g)(n) = c(g(n)), for each n ∈ Z+. Prove that if f, g: Z+ R with f ∈ O(g), then f ∈ O(cg) for all c ∈ R, c ≠ 0.

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