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1. Prove that (f(n)) (g(n)) = (f(n) g(n)). [Hint: Prove that h(n) (f(n)) (g(n)) h(n) (f(n) g(n)), and h(n) (f(n)) (g(n)) h(n) = (n) (n),

1. Prove that (f(n)) (g(n)) = (f(n) g(n)).

[Hint: Prove that h(n) (f(n)) (g(n)) h(n) (f(n) g(n)), and h(n) (f(n)) (g(n)) h(n) = (n) (n), for some (n) (f(n)), (n) (g(n). ]

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