Let m be a Let m be a fixed natural number, and suppose that Pm is a

Let m be a

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Let m be a fixed natural number, and suppose that Pm is a polynomial with rational coefficients (in other words, Pm (x) = a₁x¹, where ai, 0≤ i ≤m, are rational numbers). Prove that either or 2" lim n-+x0 Pm (n) =0 ePm (n) = 0. lim 1140 2n Let m be a fixed natural number, and suppose that Pm is a polynomial with rational coefficients (in other words, Pm (x) = a₁x¹, where ai, 0≤ i ≤m, are rational numbers). Prove that either or 2" lim n-+x0 Pm (n) =0 ePm (n) = 0. lim 1140 2n

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