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(5} Suppose that p: R > R and q : R > R are polynomials, and q(:c) 54E 0 for all a: E R. Fmthermore,

(5} Suppose that p: R > R and q : R > R are polynomials, and q(:c) 54E 0 for all a: E R. Fmthermore, suppose {an}=1 converges to a. Prove that man) _ 9(a) 31"; arts) ' qtar

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